Author profile: Caraballo Garrido, Tomás
Data
Name | Caraballo Garrido, Tomás |
Department | Ecuaciones Diferenciales y Análisis Numérico |
Knowledge area | Análisis Matemático |
Professional category | Catedrático de Universidad |
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Article
![]() Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
(Elsevier, 2022-02-17)
In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for ... |
Article
![]() Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators
(Elsevier, 2022-01-24)
In this paper we consider the nonautonomous semilinear parabolic problems with time-dependent linear operators ut + A(t)u ... |
Article
![]() On a terminal value problem for parabolic reaction–diffusion systems with nonlocal coupled diffusivity terms
(Elsevier, 2022-01-10)
In this article, we are interested in investigating the nonlocal nonlinear reaction– diffusion system with final conditions. ... |
Article
![]() p-th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching
(Elsevier, 2021-11-01)
In this paper we focus on the p-th moment exponential stability of neutral stochastic pantograph differential equations ... |
Article
![]() h-stability in p-th moment of neutral pantograph stochastic di erential equations with Markovian switching driven by L evy noise
(Elsevier, 2021-10-01)
In this paper we investigate the h-stability in p-th moment of neutral pantograph stochastic differential equations with ... |
PhD Thesis
![]() Singularly nonautonomous semilinear evolution equations with almost sectorial operators
(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
![]() Partial stability analysis of stochastic differential equations with a general decay rate
(Springer, 2021-08-28)
This paper is concerned with the almost sure partial practical stability of stochastic differential equations with general ... |
Article
![]() Dynamics of stochastic nonlocal partial differential equations
(Springer, 2021-08-17)
This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations ... |
Article
![]() On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
(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
![]() New stability criteria for stochastic perturbed singular systems in mean square
(Springer, 2021-06-24)
In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using ... |
Article
![]() On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions
(IOS Press, 2021-06-09)
In this paper, we study two terminal value problems (TVPs) for stochastic bi-parabolic equations perturbed by standard ... |
Article
![]() Partial practical exponential stability of neutral stochastic functional di erential equa- tions with Markovian switching
(Springer, 2021-06-03)
In this paper, we investigate the partial practical exponential stability of neutral stochastic functional differential ... |
Article
![]() Corrigendum to the paper: A way to model stochastic perturbations in population dynamics models with bounded realizations. Commun Nonlinear Sci Numer Simulat, 77 (2019), 239–257
(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 ... |
Article
![]() Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices
(Elsevier, 2021-04-05)
We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we ... |
Article
![]() Transportation inequalities for coupled systems of stochastic delay evolution equations with a fractional Brownian motion
(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
![]() On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
(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
![]() Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics
(AIMS Press, 2021-02-04)
This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random ... |
Article
![]() Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations
(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
![]() Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions
(Springer, 2021-01-02)
In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by ... |
Article
![]() Pullback exponential attractors for differential equations with delay
(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
![]() The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations
(ScienceDirect, 2021-01-01)
In this work, we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic ... |
Article
![]() Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays
(Elsevier, 2020-12-01)
This article investigates the three-dimensional globally modified Navier-Stokes equations with unbounded variable delays. ... |
Article
![]() Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonas aeruginosa infection
(Elsevier, 2020-12-01)
This work discloses an epidemiological mathematical model to predict an empirical treatment for dogs infected by Pseudomonas ... |
Article
![]() Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains
(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
![]() Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate
(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
![]() Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching
(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
![]() Non-autonomous nonlocal partial differential equations with delay and memory
(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
![]() Stability of fractionally dissipative 2D quasi-geostrophic equation with infinite delay
(Springer, 2020-08-18)
In this paper, fractionally dissipative 2D quasi-geostrophic equations with an external force containing infinite delay ... |
Article
![]() Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems
(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
![]() On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation
(AIMS, 2020-06-30)
In this paper, we study two stochastic problems for time-fractional RayleighStokes equation including the initial value ... |
Article
![]() Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations
(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
![]() ON INITIAL AND TERMINAL VALUE PROBLEMS FOR FRACTIONAL NONCLASSICAL DIFFUSION EQUATIONS
(American Mathematical Society, 2020-06-11)
In this paper, we consider fractional nonclassical diffusion equations under two forms: initial value problem and terminal ... |
Article
![]() A free boundary tumor model with time dependent nutritional supply
(Elsevier, 2020-06-01)
A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion ... |
Article
![]() Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications
(Elsevier, 2020-06-01)
In this article, we first prove, from the viewpoint of infinite dynamical system, sufficient conditions ensuring the ... |
PhD Thesis
![]() A contribution to the analysis of time fractional stochastic functional partial differential equations and applications
(2020-05-20)
On the one hand, the classical heat equation∂tu= ∆udescribes heatpropagation in a homogeneous medium, while the time ... |
Article
![]() A STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE
(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
![]() Dynamical systems applied to consciousness and brain rhythms in a neural network
(2020-04-21)
This thesis applies the great advances of modern dynamical systems theory (DST) to consciousness. Consciousness, or ... |
Article
![]() Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel
(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
![]() STABILITY ANALYSIS OF A DELAY DIFFERENTIAL KALDOR’S MODEL WITH GOVERNMENT POLICIES
(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
![]() Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process
(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
![]() Mathematical methods for the randomized non-autonomous Bertalanffy model
(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
![]() Existence of periodic positive solutions to a nonlinear Lotka-Votlerra competition systems
(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
![]() Stability results for neutral stochastic functional differential equations via fixed point methods
(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
![]() Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique
(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
![]() Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations
(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
![]() Practical stability with respect to a part of variables of stochastic differential equations
(Taylor & Francis, 2020-01-01)
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations ... |
Article
![]() Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term
(Springer, 2020-01-01)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term ... |
Article
![]() Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems
(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
![]() Analysis of a stochastic 2D–Navier-Stokes model with infinite delay
(Springer, 2019-12-01)
Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics ... |
Article
![]() Mild Solutions to Time Fractional Stochastic 2D-Stokes Equations with Bounded and Unbounded Delay
(Springer, 2019-11-19)
In this paper, the well-posedness of stochastic time fractional 2D-Stokes equations of order α ∈ (0, 1) containig finite ... |
Article
![]() Existence and regularity results for terminal value problem for nonlinear fractional wave equations
(IOP Science, 2019-11-15)
We consider the terminal value problem (or called nal value problem, initial inverse prob- lem, backward in time problem) ... |
Article
![]() On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations
(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 ... |
Article
![]() A way to model stochastic perturbations in population dynamics models with bounded realizations
(Elsevier, 2019-10-01)
In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy ... |
PhD Thesis
![]() Resolubility of linear Cauchy problems on Fréchet spaces and a delayed Kaldor’s model
(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) = ... |
Article
![]() Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems
(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 ... |
Article
![]() Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay
(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 ... |
Article
![]() Trajectory and global attractors for generalized processes
(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 ... |
Article
![]() Modeling and analysis of random and stochastic input flows in the chemostat model
(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. ... |
Article
![]() Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay
(Elsevier, 2019-08-01)
This paper is concerned with the well-posedness and dynamics of delay impulsive fractional stochastic evolution equations ... |
Article
![]() Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation
(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
![]() Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study
(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
![]() The asymptotic behaviour of fractional lattice systems with variable delay
(De Gruyter, 2019-06-01)
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The ... |
Article
![]() Long time behavior of fractional impulsive stochastic differential equations with infinite delay
(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
![]() Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations
(Elsevier, 2019-05-15)
We first prove the existence and regularity of the trajectory attractor for a threedimensional system of globally modified ... |
Article
![]() Some remarks on an environmental defensive expenditures model
(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
![]() Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process
(Elsevier, 2019-02-01)
This paper focuses on a pumped-storage generating system with a reversible Francis turbine and presents an innovative ... |
Article
![]() Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion
(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
![]() Existence of solutions and stability for impulsive neutral stochastic functional differential equations
(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
![]() Stability results for 2D Navier-Stokes equations with unbounded delay
(Elsevier, 2018-12-05)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving ... |
Article
![]() Exponential stability of an incompressible non-Newtonian fluid with delay
(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
![]() Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent
(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
![]() Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations
(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
![]() Analysis of infinite dimensional dynamical systems associated to functional differential equations.
(2018-06-28)
Based on the theory of functional diferential equations, theory of semigroup, theory of random dynamical systems and theory ... |
PhD Thesis |
Article
![]() Robustness of time-dependent attractors in H1-norm for nonlocal problems
(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
![]() Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems
(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 ... |
Final Degree Project
![]() Aplicación de los sistemas diferenciales al estudio de un modelo epidemiológico con reinfección
(2018-01-01)
Mathematical modeling, currently, is a very important element in health system, since it allows studying the incidence, ... |
Article
![]() A stochastic SIRI epidemic model with relapse and media coverage
(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
![]() Dynamics of a continuous Hénon model
(Wiley, 2018-01-01)
We study a continuous Hénon system obtained by considering the discrete original model in continuous time. While the ... |
Article
![]() Dynamic evolution of a hydraulic-mechanical-electric system with randomly fluctuating speed based on Chebyshev polynomial approximation method
(Springer, 2018-01-01)
The research proposed in this paper focuses on the dynamic evolution of a hydraulic-mechanical-electric system under the ... |
Article
![]() On a predator prey model with nonlinear harvesting and distributed delay
(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. ... |
Article
![]() Pullback attractor for a dynamic boundary non-autonomous problem with Infinite delay
(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
![]() A stochastic SIRI epidemic model with Lévy noise
(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
![]() Analysis of a stochastic SIR model with fractional Brownian motion
(Taylor & Francis, 2018-01-01)
In this article, a stochastic version of a SIR nonautonomous model previously introduced in Kloeden and Kozyakin (2011) ... |
Presentation
![]() Pullback attractors to analyze the effect of random and stochastic disturbances in the chemostat model
(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
![]() Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
(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
![]() Practical exponential stability of impulsive stochastic functional differential equations
(Elsevier, 2017-11-01)
This paper is devoted to the investigation of the practical exponential stability of impulsive stochastic functional ... |
Article
![]() Dynamics of a class of ODEs via wavelets
(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
![]() Well-posedness and dynamics of a fractional stochastic integro-differential equation
(Elsevier, 2017-09-15)
In this paper we investigate the well-posedness and dynamics of a fractional stochastic integro-differential equation ... |
Article
![]() Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory
(Springer, 2017-09-01)
The existence and limiting behavior of the solutions of stochastic parabolic problems with thermal memory are investigate ... |
Article
![]() Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion
(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
![]() Dynamics of some stochastic chemostat models with multiplicative noise
(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
![]() Corrigendum to the paper: Existence and stability results for semilinear systems of impulsivestochastic differential equations with fractionalBrownian motion. Stoch. Anal. Appl. 34 (2016), no. 5, 792–834
(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
![]() Attractors for a random evolution equation with infinite memory: Theoretical results
(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 ... |
Article
![]() Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution
(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
![]() Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic
(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 ... |
Final Degree Project
![]() Ecuaciones diferenciales con retardo: Aplicación a un modelo de quimiostato
(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
![]() Estudio del comportamiento asintótico de un modelo en epidemiología
(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
![]() A qualitative description of microstructure formation and coarsening phenomena for an evolution equation
(Springer, 2017-04-01)
We provide a qualitative description of microstructure formation and coarsening phenomena for the solutions of a singularly ... |
Article
![]() Attractors for impulsive non-autonomous dynamical systems and their relations
(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
![]() Stabilization of oscillations in a phase transition model
(Wiley, 2017-02-01)
In this paper we analyze a model presenting formation of microstructure depending on the parameters and the initial data. ... |
Article
![]() Pullback, forward and chaotic dynamics in 1-D non-autonomous linear-dissipative equations
(IOP Publishing, 2017-01-01)
The global attractor of a skew product semiflow for a non-autonomous differential equation describes the asymptotic behaviour ... |
Article
![]() A comparison between random and stochastic modeling for a SIR model
(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
![]() Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay
(International Press, 2017-01-01)
We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of ... |
Presentation
![]() Random dynamical systems to analyze different ways of modeling stochastic chemostats
(2017-01-01)
In this talk, some different ways of modeling stochastic chemostats will be presented in order to obtain much more realistic ... |
Article
![]() Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays
(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
![]() Equi-attraction and continuity of attractors for skew-product semiflows
(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
![]() Impulsive surfaces on dynamical systems
(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
![]() Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
(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
![]() Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations
(Wiley, 2016-10-01)
In this work we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations ... |
Article
![]() Semi-Kolmogorov models for predation with indirect effects in random environments
(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
![]() Structure of the pullback attractor for a non-autonomous scalar differential inclusion
(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
![]() Comportamiento asintótico en tiempo de ecuaciones en derivadas parciales no locales
(2016-06-23)
En las últimas décadas muchos investigadores han estado interesados en estudiar problemas no locales por su utilidad en ... |
Article
![]() Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay
(Wiley, 2016-04-01)
In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic ... |
Article
![]() Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion
(Taylor & Francis, 2016-01-01)
Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations ... |
Article
![]() Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay
(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
![]() Some aspects concerning the dynamics of stochastic chemostats
(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. ... |
Book
![]() Applied nonautonomous and random dynamical systems
(Springer, 2016-01-01)
|
Chapter of Book
![]() A random model for immune response to virus in fluctuating environments
(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 ... |
Presentation
![]() A survey on impulsive dynamical systems
(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
![]() Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
(2016-01-01)
In this paper we investigate the long term behavior of a stochastic lattice dynamical system with a diffusive nearest ... |
Article
![]() New trends on nonlinear dynamics and its applications
(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
![]() Predation with indirect effects in fluctuating environments
(Springer, 2015-06-30)
We investigate the long term dynamics for a predation model of Plankton community with indirect effects, under fluctuating ... |
Article
![]() Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness
(Springer, 2015-06-17)
In this paper, we consider a non-autonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal ... |
Article
![]() On the practical global uniform asymptotic stability of stochastic differential equations
(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
![]() Practical stability of stochastic delay evolution equations
(Springer, 2015-04-23)
In this paper we investigate the almost sure practical stability for a class of stochastic functional evolution equations. ... |
Article
![]() Chemostats with random inputs and wall growth
(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
![]() Exponential behavior of solutions to stochastic integrodifferential equations with distributed delays
(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 |
Article
![]() Effects of additive and multiplicative noise on the dynamics of a parabolic equation
(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
![]() A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions
(2015-01-01)
In this survey paper we review several aspects related to Navier-Stokes models when some hereditary characteristics ... |
Article
![]() Asymptotic stability of neutral stochastic functional integro-differential equations with impulses
(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 ... |
Article
![]() Practical exponential stability in mean square of stochastic partial differential equations
(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. |
Article
![]() Dynamics of nonautonomous chemostat models
(2015-01-01)
Chemostat models have a long history in the biological sciences as well as in biomathematics. Hitherto most investigations ... |
Article
![]() On the stability of impulsive functional differential equations with infinite delays
(2015-01-01)
In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. ... |
Article
![]() Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
(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
![]() Chemostats with time-dependent inputs and wall growth
(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 ... |
Article
![]() Well--posedness and asymptotic behaviour for a non-classical and non-autonomous diffusion equation with delay
(2015-01-01)
In this paper, it is analyzed a non-classical non-autonomous di_usion equation with delay. First, the well-posedness and ... |
Article
![]() Nonautonomous chemostats with variable delays
(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
![]() Morse decomposition of global attractors with infinite components
(2015-01-01)
In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, ... |
Article
![]() Attractors for non-autonomous retarded lattice dynamical systems
(De Gruyter Open, 2015-01-01)
In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative ... |
PhD Thesis
![]() Caracterización de los atractores en sistemas dinámicos no autónomos
(2014-03-21)
El estudio de los sistemas dinámicos es de gran importancia, ya que están relacionados con fenómenos del mundo real. Los ... |
Article
![]() Stability of stationary solutions to 2D-Navier-Stokes models with delays
(International Press, 2014-01-01)
In this paper we establish some sufficient conditions for the exponential stability of the stationary solution to a ... |
Article
![]() Asymptotic Behaviour of a Logistic Lattice System
(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
![]() Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion
(2014-01-01)
This paper deals with the existence, uniqueness and asymptotic behavior of mild solutions to neutral stochastic delay ... |
Article
![]() Asymptotic Behaviour of a Non-Autonomous Lorenz-84 System
(2014-01-01)
The so called Lorenz-84 model has been used in climatological studies, for example by coupling it with a low-dimensional ... |
Article
![]() Stability of delay evolution equations with stochastic perturbations
(2014-01-01)
The investigation of stability for hereditary systems is often related to the construction of Lyapunov functionals. The ... |
Article
![]() On Differential Equations with Delay in Banach Spaces and Attractors for Retarded Lattice Dynamical Systems
(2014-01-01)
In this paper we first prove a rather general theorem about existence of solutions for an abstract differential equation ... |
Article
![]() Pullback attractor for a non-linear evolution equation in elasticity
(2014-01-01)
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld ... |
Article
![]() Practical asymptotic stability of nonlinear stochastic evolution equations
(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. |
Article
![]() Fixed points and exponential stability for stochastic partial integro–differential equations with delays
(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
![]() Existence results fortime-dependent neutral functional integrodifferential equations driven by a fractional Brownian motion
(Euclidean Press, 2014-01-01)
This article presents some results on existence and uniqueness of mild solutions to neutral stochastic functional evolution ... |
Article
![]() Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
(2013-01-01)
The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation ... |
Article
![]() Non-autonomous morse-decomposition and Lyapunov functions for gradient-like processes
(2013-01-01)
We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) ... |
Article
![]() Pullback attractors for differential equations with multiple variable delays in Lipschitz nonlinearities
(2013-01-01)
We establish the results on the existence of pullback attractors for nonautonomous functional differential equations with ... |
Article
![]() Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion
(2013-01-01)
This paper deals with the existence and uniqueness of mild solutions to neutral stochastic delay functional integro-di ... |
Article
![]() On the Structure of the Global Attractor for Infinite-Dimensional Non-Autonomous Dynamical Systems with Weak Convergence
(2013-01-01)
The aim of this paper is to describe the structure of global attractors for infinite-dimensional non-autonomous dynamical ... |
Article
![]() The three dimensional globally modified Navier-Stokes equations: Recent developments
(2013-01-01)
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real in 2006 and have been ... |
Article
![]() Attractivity for Neutral Functional Differential Equations
(2013-01-01)
We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results ... |
Article
![]() Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay
(2013-01-01)
A nonclassical nonautonomous diffusion equation with delay is analyzed. First, we prove the existence and uniqueness of ... |
Article
![]() Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
(2013-01-01)
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a ... |
Article
![]() Skew Product Semiflows and Morse Decomposition
(2013-01-01)
This paper is devoted to the investigation of the dynamics of non-autonomous differential equations. The description of ... |
Article
![]() An Estimate On the Fractal Dimension of Attractors of Gradient-Like Dynamical Systems
(2012-01-01)
This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like ... |
Article |
Article |
Article
![]() Continuity of Lyapunov Functions and of Energy Level for a Generalized Gradient Semigroup
(2012-01-01)
The global attractor of a gradient-like semigroup has a Morse decomposition. Associated to this Morse decomposition there ... |
Article
![]() Gradient Infinite-Dimensional Random Dynamical Systems
(2012-01-01)
In this paper we introduce the concept of a gradient random dynamical system as a random semiflow possessing a continuous ... |
Article
![]() Random attractors for stochastic lattice systems with non-Lipschitz non-linearity
(2012-01-01)
In this paper we study the asymptotic behaviour of solutions of a first-order stochastic lattice dynamical system with an ... |
PhD Thesis
![]() ![]() Atractores para EDP parabólicas no lineales y no autónomas en dominios no acotados
(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 ... |
Article
![]() A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor
(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
![]() Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations
(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 ... |
PhD Thesis
![]() Atractores pullback existencia y estructura para una ecuación de ondas con amortiguamiento no autónomo
(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
![]() The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional brownian motion
(2011-01-01)
In this paper we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic ... |
Article
![]() Stability of Gradient Semigroups Under Perturbations
(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
![]() On the asymptotic behaviour of a stochastic 3D Lans-Alpha model
(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 |
Article
![]() Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
(2010-01-01)
In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations ... |
Article
![]() Recent developments in dynamical systems: three perspectives
(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
![]() Three-dimensional system of globally modified Navier-Stokes equations with delay
(2010-01-01)
We prove the existence and uniqueness of strong solutions of a three-dimensional system of globally modified Navier–Stokes ... |
Article
![]() Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
(2010-01-01)
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results ... |
Article
![]() Global attractor for a non-autonomous integro-differential equation in materials with memory
(2010-01-01)
The long-time behavior of an integro-differential parabolic equation of diffusion type with memory terms, expressed by ... |
Article
![]() H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation
(2010-01-01)
We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general ... |
Article
![]() Pullback attractors for reaction-diffusion equations in some unbounded domains with an H-1 -valued non-autonomous forcing term and without uniqueness of solutions
(2010-01-01)
The existence of a pullback attractor for a reaction-diffusion equations in an unbounded domain containing a non-autonomous ... |
Article
![]() Almost periodic and almost automorphic solutions of linear differential equations
(2010-01-01)
We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous ... |
Article
![]() Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II
(2009-01-01)
In this paper we continue the research started in a previous paper, where we proved that the linear differential equation (1) ... |
Article
![]() Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
(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 ... |
Article
![]() A gradient-like non autonomous evolution process
(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
![]() Asymptotic Behaviour of the Three-Dimensional Á-Navier-Stokes Model with Locally Lipschitz Delay Forcing Terms
(2009-01-01)
We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional ... |
Article
![]() Non-Autonomous Attractor for Integro-Differential Evolution Equations
(2009-01-01)
We show that infinite-dimensional integro-differential equations which involve an integral of the solution over the time ... |
Article
![]() Attractors for Differential Equations with Multiple Variable Delays
(2009-01-01)
We establish some results on the existence of pullback attractors for non-autonomous delay di fferential equations with ... |
Article
![]() Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
(2008-01-01)
In this paper, we consider a stochastic lattice di®erential equation with di®usive nearest neighbor interaction, a dissipative ... |
Article
![]() Invariant Measures and Statistical Solutions of the Globally Modified Navier-Stokes Equations
(2008-01-01)
We obtain regularity results for solutions of the three dimensional system of globally modified Navier-Stokes equations, ... |
Article
![]() Synchronization of Systems with Multiplicative Noise
(2008-01-01)
The synchronization of Stratonovich stochastic di erential equations (SDE) with a one-sided dissipative Lipschitz drift ... |
Article
![]() Pullback Attractors for Stochastic Heat Equations in Materials with Memory
(2008-01-01)
We study the asymptotic behaviour of a non-autonomous stochastic reaction-diffusion equation with memory. In fact, we prove ... |
Article
![]() Stabilisation of differential inclusions and PDEs without uniqueness by noise
(2008-01-01)
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without ... |
Article
![]() Non-autonomous and random attractors for delay random semilinear equations without uniqueness
(2008-01-01)
We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and ... |
Presentation
![]() Sobre la existencia de atractores para ecuaciones aleatorias de reacción-difusión con retardos
(2007-09-01)
En primer lugar probamos la existencia y unicidad de atractor para sistemas dinámicos multivaluados abstractos, tanto en ... |
Article
![]() Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay
(2007-01-01)
The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic ... |
Article
![]() Attractors for differential equations with unbounded delays
(Elsevier, 2007-01-01)
We prove the existence of attractors for some types of differential problems containing infinite delays. Applications and ... |
Article
![]() Levitan/Bohr Almost Periodic and Almost Automorphic Solutions of Second-Order Monotone Differential Equations
(2007-01-01)
The aim of this paper is to prove the existence of Levitan/Bohr almost periodic, almost automorphic, recurrent and Poisson ... |
Article
![]() Method of Lyapunov Functionals Construction in Stability of Delay Evolution Equations
(2007-01-01)
Stability investigation of hereditary systems often is connected with the construction of Lyapunov functionals. The general ... |
Article
![]() Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memory
(2007-01-01)
The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. ... |
Article
![]() Synchronization of a Stochastic Reaction-Diffusion System On a Thin Two-Layer Domain
(2007-01-01)
A system of semilinear parabolic stochastic partial differential equations with additive space-time noise is considered ... |
Article
![]() The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations
(2007-01-01)
In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of ... |
Article
![]() Existence of exponentially attracting stationary solutions for delay evolution equations
(2007-01-01)
We consider the exponential stability of semilinear stochastic evolution equations with delays when zero is not a solution ... |
Article
![]() Recent results on stabilization of PDEs by noise
(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
![]() Comparison of the long-time behaviour of linear Ito and Stratonovich partial differential equations
(2006-01-01)
In this paper, we point out the different long-time behaviour of stochastic partial differential equations when one considers ... |
Article
![]() On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations
(2006-01-01)
We prove existence and uniqueness of solutions for a stochastic version of the 3DLagrangian averaged Navier-Stokes (LANS-®) ... |
Article
![]() Pullback and forward attractors for a 3D Lans-alpha model with delay
(2006-01-01)
We analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we ... |
Article
![]() Discretization of Asymptotically Stable Stationary Solutions of Delay Differential Equations with a Random Stationary Delay
(2006-01-01)
We prove the existence of a stationary random solution to a delay random ordinary differential system which attracts all ... |
Article
![]() Global and Pullback Attractors of Set-Valued Skew Product Flows
(2006-01-01)
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle ... |
Article
![]() Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains
(2006-01-01)
In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the ... |
Article
![]() Stability of Nonlinear Functional Stochastic Evolution Equations of Second Order in Time
(2006-01-01)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations ... |
Article
![]() Stabilization of Stationary Solutions of Evolution Equations by Noise
(2006-01-01)
We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic ... |
Article
![]() The pathwise numerical approximation of stationary solutions of semilinear stochastic evolution equations
(2006-01-01)
Under a one-sided dissipative Lipschitz condition on its drift, a stochastic evolution equation with additive noise of the ... |
Article
![]() Pullback attractors for asymptotically compact non-autonomous dynamical systems
(2006-01-01)
First, we introduce the concept of pullback asymptotically compact non-autonomous dynamical system as an extension of the ... |
Article
![]() The effect of noise on the chafee-infante equation: a nonlinear case study
(2006-01-01)
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. ... |
Article
![]() Autonomous and non-autonomous attractors for differential equations with delays
(2005-01-01)
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is ... |
PhD Thesis
![]() Contribución al estudio de algunos modelos regidos por ecuaciones de evolución no autónomas y/o estocásticas
(2005-01-01)
"Como es bien conocido, las ecuaciones de Navier-Stokes gobiernan el movimiento de fluidos comunes como el agua, el aire, ... |
Article
![]() Asymptotic Behaviour of Monotone Multi-Valued Dynamical Systems
(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
![]() Addendum To "Global Attractors for Multivalued Randomnamical Systems'' [Nonlinear Analysis 48(2002) 805-829]
(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
![]() The persistence of synchronization under environmental noise
(2005-01-01)
It is shown that the synchronization of dissipative systems persists when they are disturbed by additive noise no matter ... |
Article
![]() Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations
(2005-01-01)
An abstract system of coupled nonlinear parabolic-hyperbolic partial differential equations subjected to additive white ... |
Article
![]() On the stochastic 3D-Lagrangian averaged Navier-Stokes Alpha-Model with finite delay
(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. |
Article
![]() Attractors for 2D-Navier-Stokes models with delays
(2004-01-01)
The existence of an attractor for a 2D-Navier-Stokes system with delay is proved. The theory of pullback attractors is ... |
Article
![]() Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation
(2004-01-01)
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous non-linearities when ... |
Article
![]() Stabilisation of linear PDEs by Stratonovich noise
(2004-01-01)
Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense ... |
Article
![]() Pullback and Forward Attractors for a Damped Wave Equation with Delays
(2004-01-01)
The existence of a pullback (and also a uniform forward) attractor is proved for a damped wave equation containing a delay ... |
PhD Thesis
![]() ![]() Existencia, unicidad y comportamiento asintótico en algunos sistemas dinámicos deterministas y estocásticos
(2003-05-23)
La memoria está compuesta de dos partes: la primera se enmarca dentro del Análisis Estocástico y la segunda parte en la ... |
Article
![]() Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
(2003-01-01)
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential ... |
Article
![]() On the relationship between solutions of stochastic and random differential inclusions
(2003-01-01)
Some results on the relationship of the solutions of a stochastic di erential inclusion and the corresponding random di ... |
Article
![]() Asymptotic stability of nonlinear stochastic evolution equations
(2003-01-01)
Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. ... |
Article
![]() A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour
(2003-01-01)
This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their ... |
Article
![]() Asymptotic Behaviour of 2D-Navier-Stokes Equations with Delays
(2003-01-01)
Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some ... |
Article
![]() Weak pullback attractors of setvalued processes
(2003-01-01)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous ... |
Article
![]() Stochastic stabilization of differential systems with general decay rate
(2003-01-01)
Some sufficient conditions concerning stability of solutions of stochastic differential evolution equations with general ... |
Article
![]() The dimension of attractors of nonautonomous partial differential equations
(2003-01-01)
The concept of nonautonomous (or cocycle) attractor has become a proper tool for the study of the asymptotic behaviour of ... |
Article
![]() The exponential behaviour of nonlinear stochastic functional equations of second order in time
(2003-01-01)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations ... |
PhD Thesis |
Article
![]() Existence and uniqueness of solutions for delay stochastic evolution equations
(2002-01-01)
Some results on the existence and uniqueness of solutions for stochastic evolution equations containing some hereditary ... |
Article
![]() Global Attractors for Multivalued Random Dynamical Systems
(2002-01-01)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the ... |
Article
![]() The Exponential Behaviour and Stabilizability of Stochastic 2D-Navier-Stokes Equations
(2002-01-01)
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-Stokes equation are ... |
Article
![]() Attractors for differential equations with variable delays
(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. |
Article
![]() On the decay rate of solutions of non-autonomous differential systems
(2001-01-01)
Some results on the asymptotic behaviour of solutions of diff erential equations concerning general decay rate are proved. ... |
Presentation
![]() Approximation of attractors for multivalued random dynamical systems
(Masaryk University, 2001-01-01)
The concept of global attractor for stochastic partial differential inclusions has been recently introduced as a joint ... |
Article
![]() Asymptotic exponential stability for diffusion processes driven by stochastic differential equations in duals of nuclear spaces
(2001-01-01)
The main objective of this paper is to investigate the asymptotic stability for diffusion processes driven by a class of ... |
Article
![]() An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation
(2001-01-01)
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this ... |
Article
![]() A Stochastic Pitchfork Bifurcation in a Reaction-Diffusion Equation
(2001-01-01)
We study in some detail the structure of the random attractor for the Chafee{Infante reaction{di¬usion equation perturbed ... |
Article
![]() Navier-Stokes Equations with Delays
(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. |
Article
![]() Nonlinear Partial Functional Differential Equations: Existence and Stability
(2001-01-01)
Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are ... |
Article
![]() On Stabilization of Partial Differential Equations by Noise
(2001-01-01)
Some results on stabilization of (deterministic and stochastic) partial differential equations are established. In particular, ... |
Article
![]() Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise
(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. |
Article
![]() Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise
(2001-01-01)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the ... |
Article
![]() Stochastic Functional Partial Differential Equations: Existence, Uniqueness and Asymptotic Decay Property
(2000-01-01)
Existence and uniqueness of strong solutions for a class of stochastic functional di fferential equations in Hilbert spaces ... |
Article
![]() Stability and random attractors for a reaction-diffusion equation with multiplicative noise
(2000-01-01)
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white ... |
Article
![]() Tracking Properties of Trajectories On Random Attracting Sets
(1999-01-01)
The theory of random attracting sets highlights interesting properties of the asymptotic behaviour of some stochastic ... |
Article
![]() Exponential Stability of Mild Solutions of Stochastic Partial Differential Equations with Delays
(1999-01-01)
A semilinear stochastic partial differential equation with variable delays is considered. Sufficient conditions for the ... |
Article
![]() On Exponential Stability Criteria of Stochastic Partial Differential Equations
(1999-01-01)
Some criteria for the mean square and almost sure exponential stability of nonlinear stochastic partial differential ... |
PhD Thesis
![]() Atractores y comportamiento finito-dimensional en sistemas dinámicos aleatorios
(1998-01-01)
"En el Capítulo 1, presentamos una síntesis de los resultados básicos sobre atractores globales que pueden encontrarse en ... |
Article
![]() Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems
(1998-01-01)
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential ... |
Article
![]() On the Pathwise Exponential Stability of Nonlinear Stochastic Partial-Differential Equations
(1994-01-01)
Sufficient conditions to get exponential stability for the sample paths (with probability one) of a non-linear monotone ... |
Article
![]() Partial Differential Equations with Delayed Random Perturbations: Existence, Uniqueness and Stability of Solutions
(1993-01-01)
We consider a stochastic non–linear Partial Differential Equation with delay which may be regarded as a perturbed equation. ... |
Article
![]() Existence and Uniqueness of Solutions for Non-Linear Stochastic Partial Differential Equations
(1991-01-01)
We state some results on existence and uniqueness for the solution of non linear stochastic PDEs with deviating arguments. ... |
Article
![]() Non-Linear Stochastic Partial Differential Equations with Delays: Existence and Uniqueness of Solutions
(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 ... |
Article
![]() Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
(1990-01-01)
Sufficient conditions for pathwise asymptotic exponential stability of the solution of the stochastic PDE with delay d x ... |
Article
![]() Ecuaciones en derivadas parciales con perturbaciones estocásticas
(Universidad de Extremadura, 1989-01-01)
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PhD Thesis
![]() Algunos resultados de estabilidad de ecuaciones en derivadas parciales estocásticas con retardos
(1988-01-01)
"En esta memoria presentamos una contribución al estudio de la estabilidad en la Ecuaciones en Derivadas Parciales ... |
Article
![]() Condiciones suficientes de estabilidad para Ecuaciones en Derivadas Parciales estocásticas con retardos
(1988-01-01)
Sufficient conditions for pathwise exponential stability of the zero solution of stochastic PDE with deviating argument ... |