Article

Yang, Shuang; Yang, Shuang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Li, Yangrong; Li, Yangrong (Elsevier, 2023-04-05)
In this paper we investigate stochastic dynamics and invariant measures for stochastic 3D Lagrangian-averaged NavierStokes ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Uzal, José M.; Uzal, José M. (Springer, 2023-02-10)
In this paper we study the asymptotic behaviour of multivalued processes which are under the influence of impulsive action. ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ezzine, Faten; Ezzine, Faten; Hammami, Mohamed Ali; Hammami, Mohamed Ali (Bolyai Institute, University of Szeged, 2022-12-01)
This paper stands for the almost sure practical stability of nonlinear stochastic
differential delay equations (SDDEs) ...
|
Article

Liu, Yarong; Liu, Yarong; Wang, Yejuan; Wang, Yejuan; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (SIAM, 2022-10-07)
In this paper, we study the full compressible Navier--Stokes system in a bounded domain Ω⊂R3
, where the viscosity and ...
|
Article

Wang, Jingyu; Wang, Jingyu; Wang, Yejuan; Wang, Yejuan; Yang, Lin; Yang, Lin; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (AIMS, 2022-10-01)
A non-autonomous stochastic delay wave equation with linear memory and nonlinear
damping driven by additive white noise ...
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Article

Xu, Jiaohui; Xu, Jiaohui; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Valero, José; Valero, José (AIMS, 2022-10-01)
In this paper, it is first addressed the well-posedness of weak solutions to a nonlocal partial differential equation with ...
|
Article

Wang, Jingyu; Wang, Jingyu; Wang, Yejuan; Wang, Yejuan; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (AIMS, 2022-10-01)
This paper is devoted to the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with infinite ...
|
Article

Yang, Dandan; Yang, Dandan; Chen, Zhang; Chen, Zhang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Springer, 2022-09-27)
This paper investigates the dynamics of a class of three-dimensional
globally modified Navier-Stokes equations with double ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Mchiri, Lassaad; Mchiri, Lassaad; Mohsen, Belfeki; Mohsen, Belfeki; Rhaima, Mohamed; Rhaima, Mohamed (Wiley, 2022-09-27)
In this article, we investigate the existence and uniqueness of solution of controlled
hybrid neutral stochastic di erential ...
|
Article

Yang, Shuang; Yang, Shuang; Li, Yangrong; Li, Yangrong; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (AIP Publishing, 2022-09-11)
In this paper, two problems related to FitzHugh-Nagumo lattice systems are analyzed. The first one is
concerned with the ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ezzine, Faten; Ezzine, Faten; Hammami, Mohamed Ali; Hammami, Mohamed Ali (Springer, 2022-09-01)
The Lyapunov approach is one of the most effective and efficient methods for the inves tigation of the stability of ...
|
Article

Xu, Jiaohui; Xu, Jiaohui; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Valero, José; Valero, José (Elsevier, 2022-08-01)
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory
and non-local diffusion is ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cavaterra, Cecilia; Cavaterra, Cecilia (2022-08-01)
In this paper we consider a model describing the evolution of a nematic liquid crystal flow with delay external forces. ...
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Article

Xu, Jiaohui; Xu, Jiaohui; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Texas State University, 2022-06-19)
We analyze the well-posedness of two versions of a stochastic time
delay fractional 2D-Stokes model with nonlinear ...
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Master's Final Project

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; López de la Cruz, Javier; López de la Cruz, Javier (2022-06-15)
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Mchiri, Lassaad; Mchiri, Lassaad; Mohsen, Belfeki; Mohsen, Belfeki (Wiley, 2022-03-01)
In this paper, we study the η-stability in q-th moment (η.s.q.m) of hybrid neutral
stochastic differential equations with ...
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Article

Mchiri, Lassaad; Mchiri, Lassaad; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Rhaima, Mohamed; Rhaima, Mohamed (Springer, 2022-02-25)
In this paper, we investigate the partial asymptotic stability (PAS) of neutral
pantograph stochastic differential equations ...
|
Article

; ; Benhadri, Mimia; Benhadri, Mimia; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Scopus, 2022-02-22)
New criteria ensuring global asymptotic stability of the zero solution for a class of linear neutral differential equations ...
|
Article

Zhao, Caidi; Zhao, Caidi; Wang, Jintao; Wang, Jintao; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier, 2022-02-17)
In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample
measures for ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Mchiri, Lassaad; Mchiri, Lassaad; Rhaima, Mohamed; Rhaima, Mohamed (Taylor & Francis, 2022-02-01)
In this paper, by using the Gronwall inequality, we show two new results on the UlamHyers and the Ulam-Hyers-Rassias stabilities of neutral stochastic functional differential
equations. Two examples illustrating our results are exhibited.
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Article

Boldrin Belluzi, Maykel; Boldrin Belluzi, Maykel; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Nascimento, Marcelo J.D.; Nascimento, Marcelo J.D.; Schiabel, Karina; Schiabel, Karina (Elsevier, 2022-01-24)
In this paper we consider the nonautonomous semilinear parabolic problems with time-dependent linear
operators
ut + A(t)u ...
|
Article

NGuyen, Huy Tuan; NGuyen, Huy Tuan; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Khanh Van, Phan Thi; Khanh Van, Phan Thi; Van Au, Vo; Van Au, Vo (Elsevier, 2022-01-10)
In this article, we are interested in investigating the nonlocal nonlinear reaction–
diffusion system with final conditions. ...
|
Article

Xu, Jiaohui; Xu, Jiaohui; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (SIAM, 2022-01-01)
This paper is devoted to investigating the well-posedness and asymptotic behavior of a class of stochastic
5 nonlocal ...
|
Article

Boldrin Belluzi, Maykel; Boldrin Belluzi, Maykel; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Nascimento, Marcelo J.D.; Nascimento, Marcelo J.D.; Schiabel, Karina; Schiabel, Karina (Springer, 2022-01-01)
In this paper we study a semilinear parabolic problem
ut + Au = f(t, u), t > τ ; u(τ ) = u0 ∈ X,
in a Banach space X, where ...
|
Article

Benhadri, Mimia; Benhadri, Mimia; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Springer, 2021-11-11)
In this paper, we investigate the existence of positive periodic solutions
for an n-species Lotka-Volterra system with ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Mchiri, Lassaad; Mchiri, Lassaad; Mohsen, Belfeki; Mohsen, Belfeki; Rhaima, Mohamed; Rhaima, Mohamed (Elsevier, 2021-11-01)
In this paper we focus on the p-th moment exponential stability of neutral stochastic pantograph differential equations ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Belfeki, Mohsen; Belfeki, Mohsen; Mchiri, Lassaad; Mchiri, Lassaad; Rhaima, Mohamed; Rhaima, Mohamed (Elsevier, 2021-10-01)
In this paper we investigate the h-stability in p-th moment of neutral pantograph stochastic differential equations with ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; El Fatini, Mohamed; El Fatini, Mohamed; El Khalifi, Mohamed; El Khalifi, Mohamed; Rathinasamy, Anandaraman; Rathinasamy, Anandaraman (Taylor & Francis, 2021-09-30)
This paper studied a stochastic epidemic model of the spread of the novel coronavirus (COVID19). Severe factors impacting ...
|
PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Schiabel, Karina; Schiabel, Karina; Boldrin Belluzi, Maykel; Boldrin Belluzi, Maykel (2021-09-21)
In this work we consider the singularly nonautonomous semilinear parabolic problem
ut + A(t)u = F(u); t > ;
u( ) = u0;
in ...
|
Article

Liu, Yarong; Liu, Yarong; Wang, Yejuan; Wang, Yejuan; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (World scientific, 2021-09-01)
We consider stochastic 2D-Stokes equations with unbounded delay in fractional power
spaces and moments of order p ≥ 2 ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; López de la Cruz, Javier; López de la Cruz, Javier; Rapaport, Alain; Rapaport, Alain (World scientific, 2021-09-01)
This paper investigates the dynamics of a model of two chemostats connected by Fickian diffusion with bounded random ...
|
Article

Benhadri, Mimia; Benhadri, Mimia; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (DOAJ, 2021-09-01)
This paper addresses the stability study for nonlinear neutral differ ential equations. Thanks to a new technique based ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ezzine, Faten; Ezzine, Faten; Hammami, Mohamed Ali; Hammami, Mohamed Ali (Springer, 2021-08-28)
This paper is concerned with the almost sure partial practical stability of stochastic differential equations
with general ...
|
Article

Xu, Jiaohui; Xu, Jiaohui; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Springer, 2021-08-17)
This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations ...
|
Article

Boldrin Belluzi, Maykel; Boldrin Belluzi, Maykel; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Dias Nascimento, Marcelo José; Dias Nascimento, Marcelo José; Schiabel, Karina; Schiabel, Karina (American Institute of Mathematical Sciences, 2021-08-04)
ct. In this paper we consider the singularly nonautonomous evolution
problem
ut + A(t)u = f(t), τ < t < τ + T; u(τ) = u0 ...
|
Article

Tuan Nguyen, Anh; Tuan Nguyen, Anh; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Tuan, Nguyen Huy; Tuan, Nguyen Huy (Elsevier, 2021-08-01)
In this work, we investigate the IVP for a time-fractional fourth-order equation with nonlinear
source terms. More ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ngoc, Tran Bao; Ngoc, Tran Bao; Tuan, Nguyen Huy; Tuan, Nguyen Huy; Wang, Renhai; Wang, Renhai (American Mathematical Society, 2021-08-01)
In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ngoc, Tran Bao; Ngoc, Tran Bao; Thach, Tran Ngoc; Thach, Tran Ngoc; Tuan, Nguyen Huy; Tuan, Nguyen Huy (World scientific, 2021-07-15)
This paper is concerned with the mathematical analysis of terminal value problems for a
stochastic non-classical diffusion ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ezzine, Faten; Ezzine, Faten; Hammami, Mohamed Ali; Hammami, Mohamed Ali (Springer, 2021-06-24)
In this paper, we investigate the problem
of stability of time-varying stochastic perturbed singular systems by using ...
|
Article

NGuyen, Huy Tuan; NGuyen, Huy Tuan; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Tran, Ngoc Thach; Tran, Ngoc Thach (IOS Press, 2021-06-09)
In this paper, we study two terminal value problems (TVPs) for stochastic bi-parabolic equations perturbed by standard ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Mchiri, Lassaad; Mchiri, Lassaad; Rhaima, Mohamed; Rhaima, Mohamed (Springer, 2021-06-03)
In this paper, we investigate the partial practical exponential stability of neutral stochastic functional differential ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; López de la Cruz, Javier; López de la Cruz, Javier; Rapaport, Alain; Rapaport, Alain (Elsevier [Commercial Publisher], 2021-05-01)
In this corrigendum we correct an error in our paper [T. Caraballo, R. Colucci, J. López-de-la-Cruz and A. Rapaport. A way ...
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Article

Zhao, Caidi; Zhao, Caidi; Jiang, Huite; Jiang, Huite; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier, 2021-04-05)
We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Boudaoui, Ahmed; Boudaoui, Ahmed; Blouhi, Tayeb; Blouhi, Tayeb (Taylor and Francis Online, 2021-02-17)
We prove an existence and uniqueness result of mild solution for a system of stochastic semilinear differential equations ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ezzine, Faten; Ezzine, Faten; Hammami, Mohamed Ali; Hammami, Mohamed Ali (Springer, 2021-02-09)
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; López de la Cruz, Javier; López de la Cruz, Javier (AIMS Press, 2021-02-04)
This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random ...
|
Article

Zhao, Caidi; Zhao, Caidi; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Lukaszewicz, Grzegorz; Lukaszewicz, Grzegorz (Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2021-01-28)
In this article, the authors investigate the system of Schr odinger and Klein-Gordon equations with Yukawa coupling. They ...
|
Article

Wang, Yejuan; Wang, Yejuan; Liu, Yarong; Liu, Yarong; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Springer, 2021-01-02)
In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by ...
|
Article

Wang, Yejuan; Wang, Yejuan; Liu, Yarong; Liu, Yarong; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Springer, 2021-01-02)
In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by ...
|
Article

Yang, Lin; Yang, Lin; Wang, Yejuan; Wang, Yejuan; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (AIMS, 2021-01-01)
In this paper we investigate the regularity of global attractors and
of exponential attractors for two dimensional ...
|
Article

Netchaoui, Sana; Netchaoui, Sana; Hammami, Mohamed Ali; Hammami, Mohamed Ali; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2021-01-01)
We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. We considered ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Oliveira Sousa, Alexandre N.; Oliveira Sousa, Alexandre N. (ScienceDirect, 2021-01-01)
In this work, we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic ...
|
Article

Shaikhet, Leonid; Shaikhet, Leonid; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Taylor & Francis, 2020-12-08)
Stability of nonlinear delay evolution equation with stochastic perturbations is considered. It is shown that if the level ...
|
Article

López de la Cruz, Javier; López de la Cruz, Javier; Pérez-Aranda Redondo, María; Pérez-Aranda Redondo, María; Alcudia Cruz, Ana; Alcudia Cruz, Ana; Begines Ruiz, Belén; Begines Ruiz, Belén; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Pajuelo Domínguez, Eloísa; Pajuelo Domínguez, Eloísa; Ginel Pérez, Pedro José; Ginel Pérez, Pedro José (Elsevier, 2020-12-01)
This work discloses an epidemiological mathematical model to predict an empirical treatment for dogs infected by Pseudomonas ...
|
Article

Wang, Jintao; Wang, Jintao; Zhao, Caidi; Zhao, Caidi; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier, 2020-12-01)
This article investigates the three-dimensional globally modified Navier-Stokes equations with unbounded variable delays. ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Guo, Boling; Guo, Boling; Tuan, Nguyen Huy; Tuan, Nguyen Huy; Wang, Renhai; Wang, Renhai (Cambrigde Core, 2020-11-05)
This paper is concerned with the asymptotic behavior of solutions to a class of non-autonomous stochastic nonlinear wave ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; López de la Cruz, Javier; López de la Cruz, Javier; Rapaport, Alain; Rapaport, Alain (AIMS Press, 2020-10-29)
We revisit the chemostat model with Haldane growth function, here subject to bounded random disturbances on the input flow ...
|
Article

Boukanjime, Brahim; Boukanjime, Brahim; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; El Fatini, Mohamed; El Fatini, Mohamed; El Khalifi, Mohamed; El Khalifi, Mohamed (Elsevier, 2020-10-16)
In this paper, we analyze a stochastic coronavirus (COVID-19) epidemic model which is perturbed by both white noise and ...
|
Article

Xu, Jiaohui; Xu, Jiaohui; Zhang, Zhengce; Zhang, Zhengce; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2020-09-15)
The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary ...
|
Article

Liang, Tongtong; Liang, Tongtong; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Wang, Yejuan; Wang, Yejuan (Springer, 2020-08-18)
In this paper, fractionally dissipative 2D quasi-geostrophic equations with an external force containing infinite delay ...
|
Article

Wang, Yejuan; Wang, Yejuan; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences (AIMS), 2020-08-01)
In this paper, we first prove that the property of being a gradientlike general dynamical system and the existence of a ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ngoc, Tran Bao; Ngoc, Tran Bao; Thach, Tran Ngoc; Thach, Tran Ngoc; Tuan, Nguyen Huy; Tuan, Nguyen Huy (AIMS, 2020-06-30)
In this paper, we study two stochastic problems for time-fractional RayleighStokes equation including the initial value ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel (AIMS PressAIMS Press, 2020-06-24)
In this paper we consider a non-autonomous Navier-Stokes-Voigt model including a variety of delay terms in a unified ...
|
Article

NGuyen, Huy Tuan; NGuyen, Huy Tuan; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (American Mathematical Society, 2020-06-11)
In this paper, we consider fractional nonclassical diffusion equations under two forms: initial value problem and terminal ...
|
Article

Rodrígues, H. M.; Rodrígues, H. M.; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Nakassima, G. K.; Nakassima, G. K. (Springer, 2020-06-05)
In this paper we study the robustness of the exponential dichotomy
in nonautonomous linear ordinary differential equations ...
|
Article

Zhao, Caidi; Zhao, Caidi; Li, Yanjiao; Li, Yanjiao; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier, 2020-06-01)
In this article, we first prove, from the viewpoint of infinite dynamical system, sufficient conditions ensuring the ...
|
Article

Sun, Wenlong; Sun, Wenlong; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Han, Xiaoying; Han, Xiaoying; Kloeden, Peter E.; Kloeden, Peter E. (Elsevier, 2020-06-01)
A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion ...
|
PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xu, Jiaohui; Xu, Jiaohui (2020-05-20)
On the one hand, the classical heat equation∂tu= ∆udescribes heatpropagation in a homogeneous medium, while the time ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; El Fatini, Mohamed; El Fatini, Mohamed; Sekkak, Idriss; Sekkak, Idriss; Taki, Regragui; Taki, Regragui; Laaribi, Aziz; Laaribi, Aziz (AIMS Press, 2020-05-01)
In this paper, we study a stochastic epidemic model with isolation and nonlinear incidence. In particular, we propose a ...
|
PhD Thesis

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Galadí García, Javier Alejandro; Galadí García, Javier Alejandro (2020-04-21)
This thesis applies the great advances of modern dynamical systems theory
(DST) to consciousness. Consciousness, or ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; El Fatini, Mohamed; El Fatini, Mohamed; El Khalifi, Mohamed; El Khalifi, Mohamed; Gerlach, Richard; Gerlach, Richard; Pettersson, Roger; Pettersson, Roger (Elsevier, 2020-04-01)
In this work, we investigate a stochastic epidemic model with relapse and distributed delay. First, we prove that our model ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Pereira da Silva, Alex; Pereira da Silva, Alex (Mathematica Scandinavica [Independent Journal], 2020-03-29)
This paper is devoted to analyze the stability of the economy according to an extended version of Kaldor's economic growth ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ogouyandjou, Carlos; Ogouyandjou, Carlos; Allognissode, Fulbert Kuessi; Allognissode, Fulbert Kuessi; Diop, Mamadou Abdoul; Diop, Mamadou Abdoul (American Institute of Mathematical Sciences (AIMS), 2020-02-01)
The existence and uniqueness of mild solution of an impulsive stochastic system driven by a Rosenblatt process is analyzed ...
|
Article

Zhao, Caidi; Zhao, Caidi; Song, Zhongchun; Song, Zhongchun; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier, 2020-01-01)
The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory ...
|
Article

Benhadri, Mimia; Benhadri, Mimia; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Zeghdoudi, Halim; Zeghdoudi, Halim (Taylor and Francis, 2020-01-01)
In this paper we prove some results on the mean square asymptotic stability of a class of neutral stochastic differential ...
|
Article

Calatayud Gregori, Julia; Calatayud Gregori, Julia; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cortés López, Juan Carlos; Cortés López, Juan Carlos; Jornet Sanz, Marc; Jornet Sanz, Marc (Texas State University, 2020-01-01)
In this article we analyze the randomized non-autonomous Bertalanffy model x 0 (t, ω) = a(t, ω)x(t, ω) + b(t, ω)x(t, ω)
2/3, ...
|
Article

Benhadri, Mimia; Benhadri, Mimia; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Zeghdoudi, Halim; Zeghdoudi, Halim (AGH University of Science and Technology Press, 2020-01-01)
We investigate the existence of positive periodic solutions of a nonlinear Lotka-Volterra competition system with deviating ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (Springer, 2020-01-01)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Teamah, Abd El-Moneim Anwar; Teamah, Abd El-Moneim Anwar; El-Bagoury, Abd Al-Aziz Hosni; El-Bagoury, Abd Al-Aziz Hosni (Taylor and Francis, 2020-01-01)
This paper considers a new model in search theory to find a randomly located target in the 3-dimensional space. An ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ezzine, Faten; Ezzine, Faten; Hammami, Mohamed Ali; Hammami, Mohamed Ali; Mchiri, Lassaad; Mchiri, Lassaad (Taylor & Francis, 2020-01-01)
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations ...
|
Article

Bonotto, Everaldo de Mello; Bonotto, Everaldo de Mello; Bortolan, Matheus Cheque; Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Collegari, Rodolfo; Collegari, Rodolfo (Springer, 2019-12-05)
In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of ...
|
Article

Liu, Linfang; Liu, Linfang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Springer, 2019-12-01)
Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics ...
|
Article

Xu, Jiaohui; Xu, Jiaohui; Zhang, Zhengce; Zhang, Zhengce; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Springer, 2019-11-19)
In this paper, the well-posedness of stochastic time fractional 2D-Stokes equations of order α ∈ (0, 1) containig finite ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Tuan, Nguyen Huy; Tuan, Nguyen Huy; Ngoc, Tran Bao; Ngoc, Tran Bao; Zhou, Yong; Zhou, Yong (IOP Science, 2019-11-15)
We consider the terminal value problem (or called nal value problem, initial inverse prob-
lem, backward in time problem) ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; López de la Cruz, Javier; López de la Cruz, Javier; Rapaport, Alain; Rapaport, Alain (Elsevier, 2019-10-01)
In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy ...
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Article

Zhang, Tian; Zhang, Tian; Chen, Huabin; Chen, Huabin; Yuan, Chenggui; Yuan, Chenggui; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2019-10-01)
In this paper, under a local Lipschitz condition and a monotonicity condition, the problems on the existence and uniqueness ...
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PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Pereira da Silva, Alex; Pereira da Silva, Alex (2019-09-06)
The long-run aim of this thesis is to solve delay differential equations with infinite delay of the type d dt u(t) = ...
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Article

Boudaoui, Ahmed; Boudaoui, Ahmed; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Blouhi, Tayeb; Blouhi, Tayeb (De Gruyter, 2019-09-01)
In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cortés López, Juan Carlos; Cortés López, Juan Carlos; Navarro Quilés, Ana; Navarro Quilés, Ana (Elsevier, 2019-09-01)
We randomize the following class of linear differential equations with delay, x 0 τ (t) = axτ(t) + bxτ(t − τ), t > 0, and ...
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Article

Samprogna, Rodrigo Antonio; Samprogna, Rodrigo Antonio; Gentile Mossa, Claudia Buttarello; Gentile Mossa, Claudia Buttarello; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Schiabel, Karina; Schiabel, Karina (American Institute of Mathematical Sciences, 2019-08-01)
In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem ...
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Article

Xu, Jiaohui; Xu, Jiaohui; Zhang, Zhengce; Zhang, Zhengce; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier, 2019-08-01)
This paper is concerned with the well-posedness and dynamics of delay impulsive fractional stochastic evolution equations ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; López de la Cruz, Javier; López de la Cruz, Javier (American Institute of Mathematical Sciences, 2019-08-01)
In this paper we study a new way to model noisy input flows in the chemostat model, based on the Ornstein-Uhlenbeck process. ...
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Article

Liu, Linfang; Liu, Linfang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E. (De Gruyter, 2019-06-01)
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Settati, Adel; Settati, Adel; El Fatini, Mohamed; El Fatini, Mohamed; Lahrouz, Aadil; Lahrouz, Aadil; Imlahi, Abdelouahid; Imlahi, Abdelouahid (Elsevier, 2019-06-01)
Focusing on epidemic model in random environments, this paper uses white noise and Lévy noise to model the dynamics of the ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; Guerrini, Luca; Guerrini, Luca (American Institute of Mathematical, 2019-06-01)
In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ...
|
Article

Xu, Jiaohui; Xu, Jiaohui; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2019-06-01)
This paper is first devoted to the local and global existence of mild solutions for a class of fractional impulsive ...
|
Article

Zhao, Caidi; Zhao, Caidi; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier, 2019-05-15)
We first prove the existence and regularity of the trajectory attractor for a threedimensional system of globally modified ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; Guerrini, Luca; Guerrini, Luca (American Institute of Mathematical Sciences, 2019-03-01)
In this paper, we consider the environmental defensive expenditures model with delay proposed by Russu in P. Russu, Hopf ...
|
Article

Li, Huanhuan; Li, Huanhuan; Chen, Diyi; Chen, Diyi; Arzaghi, Ehsan; Arzaghi, Ehsan; Abbassi, Rouzbeh; Abbassi, Rouzbeh; Kilicman, Adem; Kilicman, Adem; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Patelli, Edoardo; Patelli, Edoardo; Gao, Xiang; Gao, Xiang; Xu, Beibei; Xu, Beibei (Elsevier, 2019-02-01)
This paper focuses on a pumped-storage generating system with a reversible Francis turbine and presents an innovative ...
|
Article

Blouhi, Tayeb; Blouhi, Tayeb; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ouahab, Abdelghani; Ouahab, Abdelghani (Casa Cărţii de Ştiinţă Cluj-Napoca, 2019-02-01)
In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential ...
|
Article

Benhadri, Mimia; Benhadri, Mimia; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Zeghdoudi, Halim; Zeghdoudi, Halim (Taylor & Franci, 2019-01-01)
In this paper we prove some results on the existence of solutions and
the mean square asymptotic stability for a class of ...
|
Article

Liu, Linfang; Liu, Linfang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Marín Rubio, Pedro; Marín Rubio, Pedro (Elsevier, 2018-12-05)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving ...
|
Article

Liu, Linfang; Liu, Linfang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Fu, Xianlong; Fu, Xianlong (American Institute of Mathematical Sciences, 2018-12-01)
The existence and uniqueness of stationary solutions to an incompressible non-Newtonian fluid are first established. The ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Obaya García, Rafael; Obaya García, Rafael; Sanz Gil, Ana María; Sanz Gil, Ana María (Elsevier, 2018-11-05)
In this paper we obtain a detailed description of the global and cocycle attractors for the skew-product semiflows induced ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Herrera Cobos, Marta; Herrera Cobos, Marta; Marín Rubio, Pedro; Marín Rubio, Pedro (Cambridge University Press, 2018-10-01)
In this paper, the existence and uniqueness of weak and strong solutions for a
non-autonomous nonlocal reaction-diffusion ...
|
PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; López de la Cruz, Javier; López de la Cruz, Javier (2018-06-28)
|
PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Liu, Linfang; Liu, Linfang (2018-06-28)
Based on the theory of functional diferential equations, theory of semigroup, theory of random dynamical systems and theory ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Herrera Cobos, Marta; Herrera Cobos, Marta; Marín Rubio, Pedro; Marín Rubio, Pedro (American Institute of Mathematical Sciences, 2018-05-01)
In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Herrera Cobos, Marta; Herrera Cobos, Marta; Marín Rubio, Pedro; Marín Rubio, Pedro (Elsevier, 2018-03-01)
In this paper, we focus on studying the existence of attractors in the phase spaces L2(Ω) and Lp(Ω) (among others) for ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Keraani, Sami; Keraani, Sami (Taylor & Francis, 2018-01-01)
In this article, a stochastic version of a SIR nonautonomous model previously introduced in Kloeden and Kozyakin (2011) ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; El Fatini, Mohamed; El Fatini, Mohamed; Pettersson, Roger; Pettersson, Roger; Taki, Regragui; Taki, Regragui (American Institute of Mathematical Sciences, 2018-01-01)
This work is devoted to investigate the existence and uniqueness of a global positive solution for a stochastic epidemic ...
|
Article

Berrhazi, Badr-eddine; Berrhazi, Badr-eddine; El Fatini, Mohamed; El Fatini, Mohamed; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Pettersson, Roger; Pettersson, Roger (American Institute of Mathematical Sciences, 2018-01-01)
Some diseases such as herpes, bovine and human tuberculosis exhibit
relapse in which the recovered individuals do not ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; Guerrini, Luca; Guerrini, Luca (American Institute of Mathematical Sciences, 2018-01-01)
A predator prey model with nonlinear harvesting (Holling type-II) with both constant and distributed delay is considered. ...
|
Final Degree Project

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Lindes Colón, Mercedes; Lindes Colón, Mercedes (2018-01-01)
Mathematical modeling, currently, is a very important element in health system, since it allows studying the incidence, ...
|
Presentation

López de la Cruz, Javier; López de la Cruz, Javier; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Rapaport, Alain; Rapaport, Alain (2018-01-01)
In this talk, some random and stochastic disturbances in the chemostat model will be analyzed by making use of the modern ...
|
Article

Xu, Beibei; Xu, Beibei; Chen, Diyi; Chen, Diyi; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Springer, 2018-01-01)
The research proposed in this paper focuses on the dynamic evolution of a
hydraulic-mechanical-electric system under the ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; Guerrini, Luca; Guerrini, Luca (Wiley, 2018-01-01)
We study a continuous Hénon system obtained by considering the discrete original model in continuous time. While the ...
|
Article

Samprogna, Rodrigo Antonio; Samprogna, Rodrigo Antonio; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2018-01-01)
In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Sonner, Stefanie; Sonner, Stefanie (American Institute of Mathematical Sciences, 2017-12-01)
We derive general existence theorems for random pullback exponential
attractors and deduce explicit bounds for their fractal dimension. The
results are formulated for asymptotically compact random dynamical systems
in Banach spaces.
|
Article

Munhoz Rodrigues, Hildebrando; Munhoz Rodrigues, Hildebrando; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Fuzeto Gameiro, Marcio; Fuzeto Gameiro, Marcio (American Institute of Mathematical Sciences, 2017-11-01)
The objective of this paper is to study a perturbed linear hyperbolic
differential equation. The first part of this work ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Hammami, Mohamed Ali; Hammami, Mohamed Ali; Mchiri, Lassaad; Mchiri, Lassaad (Elsevier, 2017-11-01)
This paper is devoted to the investigation of the practical exponential stability of impulsive stochastic functional ...
|
Article

Liu, Linfang; Liu, Linfang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Elsevier, 2017-09-15)
In this paper we investigate the well-posedness and dynamics of a fractional stochastic integro-differential equation ...
|
Article

Boudaoui, Ahmed; Boudaoui, Ahmed; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2017-09-01)
This paper is concerned with the existence and continuous dependence
of mild solutions to stochastic differential equations ...
|
Article

Liu, Linfang; Liu, Linfang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E. (Springer, 2017-09-01)
The existence and limiting behavior of the solutions of stochastic parabolic problems with thermal memory are investigate ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; López de la Cruz, Javier; López de la Cruz, Javier (American Institute of Mathematical Sciences, 2017-08-01)
In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, ...
|
Article

Blouhi, Tayeb; Blouhi, Tayeb; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ouahab, Abdelghani; Ouahab, Abdelghani (Taylor & Francis, 2017-08-01)
In this paper we correct an error made in our paper [Blouhi, T.; Caraballo,
T.; Ouahab, A. Existence and stability results ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Herrera Cobos, Marta; Herrera Cobos, Marta; Marín Rubio, Pedro; Marín Rubio, Pedro (American Institute of Mathematical Sciences, 2017-07-01)
In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel; Rivero Garvía, Luis Felipe; Rivero Garvía, Luis Felipe (American Institute of Mathematical Sciences, 2017-07-01)
We show existence and uniqueness of solutions for a non-classical and non-autonomous diffusion equation with infinite delay ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Schmalfuss, Björn; Schmalfuss, Björn; Valero Cuadra, José; Valero Cuadra, José (American Institute of Mathematical Sciences, 2017-07-01)
The long-time behavior of solutions (more precisely, the existence of random pullback attractors) for an integro-differential ...
|
Final Degree Project

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Ruiz González, Ángeles; Ruiz González, Ángeles (2017-06-01)
In this work we will study the theory of dynamical systems with application to a chemostat. Starting with the autonomous ...
|
Final Degree Project

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Minuesa Abril, María José; Minuesa Abril, María José (2017-06-01)
Nowadays, mathematical models are one of the most popular tools to study
epidemics due to the fact that they enable to ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato (Springer, 2017-04-01)
We provide a qualitative description of microstructure formation and coarsening phenomena for the solutions of a singularly ...
|
Article

Bonotto, Everaldo de Mello; Bonotto, Everaldo de Mello; Bortolan, Matheus Cheque; Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Collegari, Rodolfo; Collegari, Rodolfo (Elsevier, 2017-03-15)
In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous case ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato (Wiley, 2017-02-01)
In this paper we analyze a model presenting formation of microstructure depending on the parameters and the initial data. ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato (American Institute of Mathematical Sciences, 2017-01-01)
In this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in P. E. Kloeden and ...
|
Article

Liu, Linfang; Liu, Linfang; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Fu, Xianlong; Fu, Xianlong (International Press, 2017-01-01)
We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Obaya García, Rafael; Obaya García, Rafael (IOP Publishing, 2017-01-01)
The global attractor of a skew product semiflow for a non-autonomous
differential equation describes the asymptotic behaviour ...
|
Presentation

López de la Cruz, Javier; López de la Cruz, Javier; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Rapaport, Alain; Rapaport, Alain (2017-01-01)
In this talk, some different ways of modeling stochastic chemostats will be presented in order to obtain much more realistic ...
|
Article

Diop, Mamadou Abdoul; Diop, Mamadou Abdoul; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Zene, Mahamat Mahamat; Zene, Mahamat Mahamat (World Scientific Publishing, 2016-12-01)
In this work we study the existence, uniqueness and asymptotic behavior of mild solutions for neutral stochastic partial ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Barbosa da Costa, Henrique; Barbosa da Costa, Henrique; Langa Rosado, José Antonio; Langa Rosado, José Antonio (American Institute of Mathematical Sciences, 2016-11-01)
In this paper we prove the equivalence between equi-attraction and continuity of attractors for skew-product semi-flows, ...
|
Article

Diop, Mamadou Abdoul; Diop, Mamadou Abdoul; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Mané, Aziz; Mané, Aziz (Wiley, 2016-10-01)
In this work we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; Han, Xiaoying; Han, Xiaoying (Elsevier, 2016-10-01)
In this paper we study a semi-Kolmogorov type of population model, arising
from a predator-prey system with indirect ...
|
Article

Bonotto, Everaldo de Mello; Bonotto, Everaldo de Mello; Bortolan, Matheus Cheque; Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Collegari, Rodolfo; Collegari, Rodolfo (Springer, 2016-10-01)
This work is devoted to the construction of impulsive sets in Rn. In the literature, there are many examples of impulsive ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato (American Institute of Mathematical Sciences, 2016-09-01)
In this work we study semi-Kolmogorov models for predation with both the carrying capacities and the indirect effects ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio (American Institute of Mathematical Sciences, 2016-08-01)
The structure of attractors for differential equations is one of the main topics
in the qualitative theory of dynamical ...
|
PhD Thesis

Marín Rubio, Pedro; Marín Rubio, Pedro; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Herrera Cobos, Marta; Herrera Cobos, Marta (2016-06-23)
En las últimas décadas muchos investigadores han estado interesados en estudiar problemas no locales por su utilidad en ...
|
Article

Boudaoui, Ahmed; Boudaoui, Ahmed; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ouahab, Abdelghani; Ouahab, Abdelghani (Wiley, 2016-04-01)
In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic ...
|
Article

Blouhi, Tayeb; Blouhi, Tayeb; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ouahab, Abdelghani; Ouahab, Abdelghani (Taylor & Francis, 2016-01-01)
Some results on the existence and uniqueness of mild solution for a system
of semilinear impulsive differential equations ...
|
Book

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Han, Xiaoying; Han, Xiaoying (Springer, 2016-01-01)
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xiaoying, Han; Xiaoying, Han; Schmalfuss, Björn; Schmalfuss, Björn; Valero Cuadra, José; Valero Cuadra, José (2016-01-01)
In this paper we investigate the long term behavior of a stochastic lattice dynamical system with a diffusive nearest ...
|
Article

Boudaoui, Ahmed; Boudaoui, Ahmed; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ouahab, Abdelghani; Ouahab, Abdelghani (Taylor & Francis, 2016-01-01)
In this paper, we prove the local and global existence and attractivity of mild solutions for stochastic impulsive neutral functional differential equations with infinite delay, driven by fractional Brownian motion.
|
Chapter of Book

Sadovnichiy, Victor A.; Sadovnichiy, Victor A.; Zgurovsky, Mikhail Z.; Zgurovsky, Mikhail Z.; Asai, Yusuke; Asai, Yusuke; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Han, Xiaoying; Han, Xiaoying; Kloeden, Peter E.; Kloeden, Peter E. (Springer, 2016-01-01)
In this work we study a model for virus dynamics with a random immune
response and a random production rate of susceptible ...
|
Chapter of Book

Sadovnichiy, Victor A.; Sadovnichiy, Victor A.; Zgurovsky, Mikhail Z.; Zgurovsky, Mikhail Z.; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; López de la Cruz, Javier; López de la Cruz, Javier (Springer, 2016-01-01)
In this paper we study a simple chemostat model influenced by white
noise which makes this kind of models more realistic. ...
|
Presentation

Bonotto, Everaldo de Mello; Bonotto, Everaldo de Mello; Bortolan, Matheus Cheque; Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Collegari, Rodolfo; Collegari, Rodolfo (Bolyai Institute (University of Szeged), 2016-01-01)
In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; García Guirao, Juan Luis; García Guirao, Juan Luis (American Institute of Mathematical Sciences, 2015-12-01)
This paper is the Preface of a special issue devoted to Nonlinear Dynamics and Complexity generated by the contributions ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato; Xiaoying, Han; Xiaoying, Han (Springer, 2015-06-30)
We investigate the long term dynamics for a predation model of
Plankton community with indirect effects, under fluctuating ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Herrera Cobos, Marta; Herrera Cobos, Marta; Marín Rubio, Pedro; Marín Rubio, Pedro (Springer, 2015-06-17)
In this paper, we consider a non-autonomous nonlocal reactiondiffusion
equation with a small perturbation in the nonlocal ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Hammami, Mohamed Ali; Hammami, Mohamed Ali; Mchiri, Lassaad; Mchiri, Lassaad (Taylor & Francis, 2015-06-04)
The method of Lyapunov functions is one of the most effective ones for the investigation of stability of dynamical systems, ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Hammami, Mohamed Ali; Hammami, Mohamed Ali; Mchiri, Lassaad; Mchiri, Lassaad (Springer, 2015-04-23)
In this paper we investigate the almost sure practical stability for a class of stochastic functional evolution equations. ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xiaoying, Han; Xiaoying, Han; Kloeden, Peter E.; Kloeden, Peter E. (John Wiley & Sons, 2015-03-12)
Chemostat refers to a laboratory device used for growing microorganisms in a cultured environment, and has been regarded ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xiaodi, Li; Xiaodi, Li; Rakkiyappan, R.; Rakkiyappan, R.; Xiaoying, Han; Xiaoying, Han (2015-01-01)
In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Herrera Cobos, Marta; Herrera Cobos, Marta; Marín Rubio, Pedro; Marín Rubio, Pedro (Pergamon Press, 2015-01-01)
This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato (Natural Sciences Publishing Corporation, 2015-01-01)
We consider the effects of additive and multiplicative noise on the asymptotic behavior of a fourth order parabolic equation ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xiaoying, Han; Xiaoying, Han; Kloeden, Peter E.; Kloeden, Peter E. (Society for Industrial and Applied Mathematics, 2015-01-01)
The appearance of delay terms in a chemostat model can be fully justified since the future behavior of a dynamical system ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xiaoying, Han; Xiaoying, Han; Kloeden, Peter E.; Kloeden, Peter E.; Rapaport, Alain; Rapaport, Alain (2015-01-01)
Chemostat models have a long history in the biological sciences as well as in biomathematics. Hitherto most investigations ...
|
Article

Diop, Mamadou Abdoul; Diop, Mamadou Abdoul; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Ndiaye, Abdoul Aziz; Ndiaye, Abdoul Aziz (Taylor & Francis Inc., 2015-01-01)
In this work, we study the existence, uniqueness, and exponential asymptotic behavior of mild solutions to stochastic integrodifferential delay evolution equations. We assume that the non-delay part generates a C0-semigroup.
|
Presentation

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (2015-01-01)
|
Article

Diop, Mamadou Abdoul; Diop, Mamadou Abdoul; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Institute of Mathematical Statistics, 2015-01-01)
This paper is concerned with the existence and asymptotic stability in the \,p-th moment of mild solutions of nonlinear ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel; Rivero Garvía, Luis Felipe; Rivero Garvía, Luis Felipe (2015-01-01)
In this paper, it is analyzed a non-classical non-autonomous di_usion equation with delay. First, the well-posedness and ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Morillas Jurado, Francisco; Morillas Jurado, Francisco; Valero Cuadra, José; Valero Cuadra, José (De Gruyter Open, 2015-01-01)
In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Hammami, Mohamed Ali; Hammami, Mohamed Ali; Mchiri, Lassaad; Mchiri, Lassaad (Springer - Verlag Italia Srl, 2015-01-01)
The main aim of this paper is to establish some criteria for the mean square and almost sure practical exponential stability of a nonlinear monotone stochastic partial differential equations.
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xiaoying, Han; Xiaoying, Han; Kloeden, Peter E.; Kloeden, Peter E. (Natural Sciences Publishing Corporation, 2015-01-01)
Traditional assumptions in the simple chemostat model include fixed availability of the nutrient and its supply rate, and ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xiaoying, Han; Xiaoying, Han (2015-01-01)
In this survey paper we review several aspects related to Navier-Stokes models when some hereditary characteristics ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Jara Pérez, Juan Carlos; Jara Pérez, Juan Carlos; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (2015-01-01)
In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, ...
|
PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Jara Pérez, Juan Carlos; Jara Pérez, Juan Carlos (2014-03-21)
El estudio de los sistemas dinámicos es de gran importancia, ya que están relacionados con fenómenos del mundo real. Los ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Hammami, Mohamed Ali; Hammami, Mohamed Ali; Mchiri, Lassaad; Mchiri, Lassaad (2014-01-01)
In this paper we establish some su cient conditions ensuring almost sure practical asymptotic stability with a non-exponential decay rate for solutions to stochastic evolution equations based on Lyapunov techniques.
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Colucci, Renato; Colucci, Renato (2014-01-01)
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Diop, Mamadou Abdoul; Diop, Mamadou Abdoul; Ndoye, Ahmet Seyni; Ndoye, Ahmet Seyni (Research India Publications, 2014-01-01)
In this paper, we study the existence and asymptotic stability in the pth-moment of mild solutions of nonlinear impulsive ...
|
Article

Anguiano Moreno, María; Anguiano Moreno, María; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (2014-01-01)
The so called Lorenz-84 model has been used in climatological studies, for example by coupling it with a low-dimensional ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Morillas Jurado, Francisco; Morillas Jurado, Francisco; Valero Cuadra, José; Valero Cuadra, José (2014-01-01)
In this paper we first prove a rather general theorem about existence of solutions for an abstract differential equation ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Diop, Mamadou Abdoul; Diop, Mamadou Abdoul; Ndiaye, Abdoul Aziz; Ndiaye, Abdoul Aziz (Euclidean Press, 2014-01-01)
This article presents some results on existence and uniqueness of mild solutions to neutral stochastic functional evolution ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Shaikhet, Leonid; Shaikhet, Leonid (2014-01-01)
The investigation of stability for hereditary systems is often related to the construction of Lyapunov functionals. The ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Morillas Jurado, Francisco; Morillas Jurado, Francisco; Valero Cuadra, José; Valero Cuadra, José (2014-01-01)
In this paper we study the asymptotic behaviour of solutions of a lattice dynamical system of a logistic type. Namely, we ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Xiaoying, Han; Xiaoying, Han (International Press, 2014-01-01)
In this paper we establish some sufficient conditions for the exponential stability of the stationary solution to a ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Diop, Mamadou Abdoul; Diop, Mamadou Abdoul; Ndiaye, Abdoul Aziz; Ndiaye, Abdoul Aziz (2014-01-01)
This paper deals with the existence, uniqueness and asymptotic behavior of mild solutions to neutral stochastic
delay ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kiss, Gábor; Kiss, Gábor (2013-01-01)
We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results ...
|
Article

Brzezniak, Zdzislaw; Brzezniak, Zdzislaw; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Li, Yuhong; Li, Yuhong; Lukaszewicz, Grzegorz; Lukaszewicz, Grzegorz; Real Anguas, José; Real Anguas, José (2013-01-01)
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a ...
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Article

Aragão Costa, Eder Ritis; Aragão Costa, Eder Ritis; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio (2013-01-01)
We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) ...
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Article

Bortolan, Matheus Cheque; Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio (2013-01-01)
This paper is devoted to the investigation of the dynamics of non-autonomous
differential equations. The description of ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel (2013-01-01)
A nonclassical nonautonomous diffusion equation with delay is analyzed. First, we prove the existence and uniqueness of ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cheban, David; Cheban, David (2013-01-01)
The aim of this paper is to describe the structure of global attractors for infinite-dimensional non-autonomous dynamical ...
|
Article

Anguiano Moreno, María; Anguiano Moreno, María; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (2013-01-01)
The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential
parabolic equation ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Diop, Mamadou Abdoul; Diop, Mamadou Abdoul (2013-01-01)
This paper deals with the existence and uniqueness of mild solutions to neutral stochastic delay functional integro-di ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kiss, Gábor; Kiss, Gábor; Taniguchi, Takeshi; Taniguchi, Takeshi (2013-01-01)
We establish the results on the existence of pullback attractors for nonautonomous functional
differential equations with ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E. (2013-01-01)
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real in 2006 and have been ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Morillas, F.; Morillas, F.; Valero, J.; Valero, J. (Elsevier, 2012-04-16)
In this paper we study the asymptotic behavior of solutions of a
first-order stochastic lattice dynamical system with a ...
|
Article

Bortolan, Matheus Cheque; Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio (2012-01-01)
This paper is dedicated to estimate the fractal dimension of exponential global
attractors of some generalized gradient-like ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Morillas Jurado, Francisco; Morillas Jurado, Francisco; Valero Cuadra, José; Valero Cuadra, José (2012-01-01)
In this paper we study the asymptotic behaviour of solutions of a first-order stochastic lattice
dynamical system with an ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Liu, Zenxhin; Liu, Zenxhin (2012-01-01)
In this paper we introduce the concept of a gradient random dynamical system as a random semiflow
possessing a continuous ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (2012-01-01)
|
Article

Aragão Costa, Eder Ritis; Aragão Costa, Eder Ritis; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio (2012-01-01)
The global attractor of a gradient-like semigroup has a Morse decomposition. Associated to this Morse decomposition there ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (2012-01-01)
|
PhD Thesis
 
Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José; Valero Cuadra, José; Valero Cuadra, José; Anguiano Moreno, María; Anguiano Moreno, María (2011-09-01)
Este trabajo está dividido en cinco capítulos. En los Capítulos 1 y 3, se trata la parte teórica de los sistemas dinámicos ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel; Real Anguas, José; Real Anguas, José (2011-01-01)
The long-time behaviour of a stochastic 3D LANS-® model on a bounded domain is analysed. First, we reformulate the model ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe; Rivero Garvía, Luis Felipe (2011-01-01)
In this paper we consider the strongly damped wave equation with time dependent terms
utt − u − γ(t) ut + β"(t)ut = f(u), ...
|
Article

Aragão Costa, Eder Ritis; Aragão Costa, Eder Ritis; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio (2011-01-01)
In this paper we prove that gradient-like semigroups (in the sense of Carvalho and Langa (2009 J. Diff. Eqns 246 2646–68)) ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cheban, David; Cheban, David (2011-01-01)
The aim of this paper is to study the almost periodic and asymptotically almost periodic solutions on (0,+1) of the Li´enard ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Taniguchi, Takeshi; Taniguchi, Takeshi (2011-01-01)
In this paper we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic ...
|
PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe; Rivero Garvía, Luis Felipe (2011-01-01)
Este trabajo está dividido en dos partes. Una primera en la que se trata la parte teórica de los sistemas dinámicos autónomos ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real, José; Real, José; Márquez, Antonio M.; Márquez, Antonio M. (2010-09-04)
We prove the existence and uniqueness of strong solutions of a three-dimensional system of glob-ally modified Navier–Stokes ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe; Rivero Garvía, Luis Felipe (2010-01-01)
This paper is concerned with the existence of pullback attractors for evolution
processes. Our aim is to provide results ...
|
Article

Balibrea Gallego, Francisco; Balibrea Gallego, Francisco; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Valero Cuadra, José; Valero Cuadra, José (2010-01-01)
This paper aims to an present account of some problems considered in the past years in Dynamical Systems, new research directions and also provide some open problems.
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cheban, David; Cheban, David (2010-01-01)
We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José; Márquez, Antonio M.; Márquez, Antonio M. (2010-01-01)
We prove the existence and uniqueness of strong solutions of a three-dimensional system of globally
modified Navier–Stokes ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Schmalfuss, Björn; Schmalfuss, Björn; Valero Cuadra, José; Valero Cuadra, José (2010-01-01)
In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations ...
|
Article

Anguiano Moreno, María; Anguiano Moreno, María; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (2010-01-01)
We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general ...
|
Article

Anguiano Moreno, María; Anguiano Moreno, María; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (2010-01-01)
|
Article

Anguiano Moreno, María; Anguiano Moreno, María; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José; Valero Cuadra, José; Valero Cuadra, José (2010-01-01)
The existence of a pullback attractor for a reaction-diffusion equations in an unbounded domain containing a non-autonomous ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Schmalfuss, Björn; Schmalfuss, Björn; Valero Cuadra, José; Valero Cuadra, José (2010-01-01)
The long-time behavior of an integro-differential parabolic equation of diffusion type with memory terms, expressed by ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E. (2009-01-01)
We show that infinite-dimensional integro-differential equations which involve an integral of the solution over the time ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe; Rivero Garvía, Luis Felipe; Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco (2009-01-01)
In this paper we consider a dissipative damped wave equation with non-autonomous damping
of the form
utt + ¯(t)ut = ¢u + ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kiss, Gábor; Kiss, Gábor (2009-01-01)
We establish some results on the existence of pullback attractors for non-autonomous delay di fferential equations with ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel; Real Anguas, José; Real Anguas, José (2009-01-01)
We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cheban, David; Cheban, David (2009-01-01)
The well-known Favard's theorem states that the linear differential equation
x′=A(t)x+f(t)
Turn MathJax on
with Bohr ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cheban, David; Cheban, David (2009-01-01)
In this paper we continue the research started in a previous paper, where we proved that the linear differential equation
(1) ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Schmalfuss, Björn; Schmalfuss, Björn; Valero Cuadra, José; Valero Cuadra, José (2008-01-01)
We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Neuenkirch, Andreas; Neuenkirch, Andreas (2008-01-01)
The synchronization of Stratonovich stochastic di erential equations (SDE) with a one-sided dissipative Lipschitz drift ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Chueshov, Igor D.; Chueshov, Igor D.; Real Anguas, José; Real Anguas, José (2008-01-01)
We study the asymptotic behaviour of a non-autonomous stochastic reaction-diffusion equation with memory. In fact, we prove ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Lu, Kening; Lu, Kening (2008-01-01)
In this paper, we consider a stochastic lattice di®erential equation with di®usive nearest
neighbor interaction, a dissipative ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Real Anguas, José; Real Anguas, José (2008-01-01)
We obtain regularity results for solutions of the three dimensional system of globally modified Navier-Stokes equations, ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (2008-01-01)
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without ...
|
Presentation

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Schmalfuss, Björn; Schmalfuss, Björn; Valero Cuadra, José; Valero Cuadra, José (2007-09-01)
En primer lugar probamos la existencia y unicidad de atractor para sistemas
dinámicos multivaluados abstractos, tanto en ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Marín Rubio, Pedro; Marín Rubio, Pedro (2007-01-01)
The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Marín Rubio, Pedro; Marín Rubio, Pedro; Valero Cuadra, José; Valero Cuadra, José (Elsevier, 2007-01-01)
We prove the existence of attractors for some types of differential problems containing infinite delays. Applications and ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José; Shaikhet, Leonid; Shaikhet, Leonid (2007-01-01)
Stability investigation of hereditary systems often is connected with the construction of Lyapunov functionals. The general ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Chueshov, Igor D.; Chueshov, Igor D.; Marín Rubio, Pedro; Marín Rubio, Pedro; Real Anguas, José; Real Anguas, José (2007-01-01)
The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Schmalfuss, Björn; Schmalfuss, Björn (2007-01-01)
We consider the exponential stability of semilinear stochastic evolution equations with delays when zero is not a solution ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Cheban, David; Cheban, David (2007-01-01)
The aim of this paper is to prove the existence of Levitan/Bohr almost periodic, almost automorphic, recurrent and Poisson ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José; Taniguchi, Takeshi; Taniguchi, Takeshi (2007-01-01)
In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Chueshov, Igor D.; Chueshov, Igor D.; Kloeden, Peter E.; Kloeden, Peter E. (2007-01-01)
A system of semilinear parabolic stochastic partial differential equations with additive
space-time noise is considered ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Sociedad Española de Matemática Aplicada, 2006-12-01)
This paper is intended to be a brief review on some recent results
on the stabilization effect produced by noise in phenomena ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Real Anguas, José; Real Anguas, José (2006-01-01)
We prove the existence of a stationary random solution to a delay random ordinary differential system which attracts all ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio (2006-01-01)
In this paper, we point out the different long-time behaviour of stochastic partial differential equations when one considers ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel; Real Anguas, José; Real Anguas, José (2006-01-01)
We analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Marín Rubio, Pedro; Marín Rubio, Pedro (2006-01-01)
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Crauel, Hans; Crauel, Hans; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C. (2006-01-01)
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E. (2006-01-01)
Under a one-sided dissipative Lipschitz condition on its drift, a stochastic evolution equation with additive noise of the ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Lukaszewicz, Grzegorz; Lukaszewicz, Grzegorz; Real Anguas, José; Real Anguas, José (2006-01-01)
First, we introduce the concept of pullback asymptotically compact non-autonomous dynamical system as an extension of the ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Lukaszewicz, Grzegorz; Lukaszewicz, Grzegorz; Real Anguas, José; Real Anguas, José (2006-01-01)
In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Schmalfuss, Björn; Schmalfuss, Björn (2006-01-01)
We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Real Anguas, José; Real Anguas, José (2006-01-01)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José; Taniguchi, Takeshi; Taniguchi, Takeshi (2006-01-01)
We prove existence and uniqueness of solutions for a stochastic version of the 3DLagrangian
averaged Navier-Stokes (LANS-®) ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (2005-01-01)
The aim of this note is to clarify a misleading statement which appeared in our fi rst paper dealing with the concept of global random attractor for multivalued random dynamical systems, as well as in the subsequent work
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (2005-01-01)
We introduce the concept of a monotone multi-valued semi- ow as an order-preserving map. This
de nition is motivated by ...
|
Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Chueshov, Igor D.; Chueshov, Igor D.; Langa Rosado, José Antonio; Langa Rosado, José Antonio (2005-01-01)
An abstract system of coupled nonlinear parabolic-hyperbolic partial differential equations subjected to additive white ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel; Real Anguas, José; Real Anguas, José (2005-01-01)
Existence and uniqueness of solutions for a stochastic version of the 3D-Lagrangian averaged Navier-Stokes (LANS-®) equation in a bounded domain and containing some hereditary characteristics are proved.
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Marín Rubio, Pedro; Marín Rubio, Pedro; Valero Cuadra, José; Valero Cuadra, José (2005-01-01)
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is ...
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PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José; Márquez Durán, Antonio Miguel; Márquez Durán, Antonio Miguel (2005-01-01)
"Como es bien conocido, las ecuaciones de Navier-Stokes gobiernan el movimiento de fluidos comunes como el agua, el aire, ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E. (2005-01-01)
It is shown that the synchronization of dissipative systems persists when they are disturbed by additive noise no matter ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (2004-01-01)
The existence of an attractor for a 2D-Navier-Stokes system with delay is proved. The theory of pullback attractors is ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Schmalfuss, Björn; Schmalfuss, Björn (2004-01-01)
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous non-linearities when ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Robinson, James C.; Robinson, James C. (2004-01-01)
Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Real Anguas, José; Real Anguas, José (2004-01-01)
The existence of a pullback (and also a uniform forward) attractor is proved for a damped wave equation containing a delay ...
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PhD Thesis
 
Real Anguas, José; Real Anguas, José; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Marín Rubio, Pedro; Marín Rubio, Pedro (2003-05-23)
La memoria está compuesta de dos partes: la primera se enmarca dentro del Análisis Estocástico y la segunda parte en la ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (2003-01-01)
Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Real Anguas, José; Real Anguas, José (2003-01-01)
Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (2003-01-01)
Some results on the relationship of the solutions of a stochastic di erential inclusion and the corresponding random di ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (2003-01-01)
The concept of nonautonomous (or cocycle) attractor has become a proper tool for the study of the asymptotic behaviour of ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Marín Rubio, Pedro; Marín Rubio, Pedro; Robinson, James C.; Robinson, James C. (2003-01-01)
This paper presents a comparison between two abstract frameworks
in which one can treat multi-valued semiflows and their ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Real Anguas, José; Real Anguas, José (2003-01-01)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Kloeden, Peter E.; Kloeden, Peter E.; Marín Rubio, Pedro; Marín Rubio, Pedro (2003-01-01)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Melnik, Valery S.; Melnik, Valery S.; Valero Cuadra, José; Valero Cuadra, José (2003-01-01)
In this paper we study the existence of pullback global attractors for multivalued processes generated
by differential ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Real Anguas, José; Real Anguas, José (2003-01-01)
Some sufficient conditions concerning stability of solutions of stochastic differential evolution equations with general ...
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PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José; Garrido Atienza, María José; Garrido Atienza, María José (2002-01-01)
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Taniguchi, Takeshi; Taniguchi, Takeshi (2002-01-01)
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-Stokes equation are ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Garrido Atienza, María José; Garrido Atienza, María José; Real Anguas, José; Real Anguas, José (2002-01-01)
Some results on the existence and uniqueness of solutions for stochastic evolution equations
containing some hereditary ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (2002-01-01)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (2001-01-01)
Some results on the asymptotic behaviour of solutions of diff erential equations concerning general decay rate are proved. ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Cuadra Valero, José; Cuadra Valero, José (2001-01-01)
In this paper we consider a stochastic differential inclusion with multiplicative noise. It is shown that it generates a multivalued random dynamical system for which there also exists a global random attractor.
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Presentation

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (Masaryk University, 2001-01-01)
The concept of global attractor for stochastic partial differential inclusions has been recently introduced as a joint ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (2001-01-01)
Some results on the existence and uniqueness of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved.
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Valero Cuadra, José; Valero Cuadra, José (2001-01-01)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable
multivalued flow satisfying the ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Liu, Kai; Liu, Kai; Mao, Xuerong; Mao, Xuerong (2001-01-01)
Some results on stabilization of (deterministic and stochastic) partial differential equations are established. In particular, ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C. (2001-01-01)
We study in some detail the structure of the random attractor for the Chafee{Infante
reaction{di¬usion equation perturbed ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C. (2001-01-01)
Using the relatively new concept of a pullback attractor, we present some results on the existence of attractors for differential equations with variable delay. We give a variety of examples to which our result applies.
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (2001-01-01)
Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Liu, Kai; Liu, Kai (2001-01-01)
The main objective of this paper is to investigate the asymptotic stability for diffusion processes driven by a class of ...
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Article

Anguiano Moreno, María; Anguiano Moreno, María; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (2001-01-01)
Some exponential growth results for the pullback attractor of a reaction-diffusion
when time goes to ¡1 are proved in this ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C. (2000-01-01)
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Liu, Kai; Liu, Kai (2000-01-01)
Existence and uniqueness of strong solutions for a class of stochastic functional di fferential equations in Hilbert spaces ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Liu, Kai; Liu, Kai (1999-01-01)
Some criteria for the mean square and almost sure exponential stability of nonlinear stochastic partial differential ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio (1999-01-01)
The theory of random attracting sets highlights interesting properties of the asymptotic behaviour of some stochastic ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Liu, Kai; Liu, Kai (1999-01-01)
A semilinear stochastic partial differential equation with variable delays is considered. Sufficient conditions for the ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C. (1998-01-01)
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential ...
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PhD Thesis

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Langa Rosado, José Antonio (1998-01-01)
"En el Capítulo 1, presentamos una síntesis de los resultados básicos sobre atractores globales que pueden encontrarse en ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (1994-01-01)
Sufficient conditions to get exponential stability for the sample paths (with probability one) of a non-linear monotone ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás; Real Anguas, José; Real Anguas, José (1993-01-01)
We consider a stochastic non–linear Partial Differential Equation with delay which may be regarded as a perturbed equation. ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (1991-01-01)
The main aim of this paper is to study stochastic PDE's with delay terms. In fact, we prove existence and uniqueness of ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (1991-01-01)
We state some results on existence and uniqueness for the solution of non linear stochastic PDEs
with deviating arguments. ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (1990-01-01)
Sufficient conditions for pathwise asymptotic exponential stability of the solution of the stochastic PDE with delay d x ...
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (Universidad de Extremadura, 1989-01-01)
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Article

Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (1988-01-01)
Sufficient conditions for pathwise exponential stability of the zero solution of stochastic PDE with deviating argument ...
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PhD Thesis

Real Anguas, José; Real Anguas, José; Caraballo Garrido, Tomás; Caraballo Garrido, Tomás (1988-01-01)
"En esta memoria presentamos una contribución al estudio de la estabilidad en la Ecuaciones en Derivadas Parciales ...
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