Perfil del autor: Caraballo Garrido, Tomás
Datos institucionales
Nombre | Caraballo Garrido, Tomás |
Departamento | Ecuaciones Diferenciales y Análisis Numérico |
Área de conocimiento | Análisis Matemático |
Categoría profesional | Catedrático de Universidad |
Correo electrónico | Solicitar |
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Estadísticas
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Nº publicaciones
348
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Nº visitas
42710
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Nº descargas
68526
Publicaciones |
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Tesis Doctoral
![]() Dynamics of deterministic and stochastic systems containing colored noise and delay or memory
(2024)
This thesis is concerned with the dynamics of deterministic systems with memory, as well as stochastic systems with nonlinear ... |
Tesis Doctoral
![]() Characterization of attractors for non-autonomous dynamical systems: Applications to non-dissipative case and ecological models
(2024)
Esta tesis está dedicada a la exploración de atractores para sistema dinámicos. Nuestro análisis sigue dos enfoques ... |
Artículo
![]() Dynamics and large deviations for fracional stochastic partial differential equations with Lévy noise
(Society for Industrial and Applied Mathematics, 2024)
This paper is mainly concerned with a kind of fractional stochastic evolution equa-tions driven by L\'evy noise in a bounded ... |
Artículo
![]() On the limit of solutions for a reaction-diffusion equation containing fractional Laplacians
(Springer, 2023)
A kind of nonlocal reaction-diffusion equations on an unbounded domain containing a fractional Laplacian operator is ... |
Artículo
![]() Dynamics and stability analysis for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay on unbounded domains
(Springer, 2023)
This paper is devoted to investigating mean dynamics and stability analysis for stochastic 3D Lagrangian-averaged Navier–Stokes ... |
Artículo
![]() Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
(Elsevier, 2023)
The objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using ... |
Artículo
![]() On the stochastic threshold of the COVID-19 epidemic model incorporating jump perturbations
(Elsevier, 2023)
This work delves into the intricate realm of epidemic modeling under the influence of unpredictable surroundings. By ... |
Artículo
![]() Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays
(Elsevier, 2023)
In this paper, we establish theoretical results on the stability of random regular attractors. First, we introduce a ... |
Artículo
![]() Random attractors for a stochastic nonlocal delayed reaction–diffusion equation on a semi-infinite interval
(Oxford Academic, 2023)
The aim of this paper is to prove the existence and qualitative property of random attractors for a stochastic non-local ... |
Artículo
![]() Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations
(Springer, 2023)
The aim of this paper is to propose a new method to construct pullback exponential attractors with explicit fractal ... |
Artículo
![]() The existence and asymptotic behavior of solutions to 3D viscous primitive equations with Caputo fractional time derivatives
(American Institute of Physics, 2023)
On the one hand, the primitive three-dimensional viscous equations for large-scale ocean and atmosphere dynamics are ... |
Artículo
![]() Estimates of exponential convergence for solutions of stochastic nonlinear systems
(Springer, 2023)
This paper aims to analyze the behavior of the solutions of a stochastic perturbed system with respect to the solutions ... |
Artículo
![]() Stochastic 3D Globally Modified Navier-Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations
(Springer, 2023)
This paper is mainly concerned with the asymptotic dynamics of nonautonomous stochastic 3D globally modified Navier-Stokes ... |
Artículo
![]() Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces
(Elsevier, 2023)
The main objective of this paper is to obtain estimations of Hausdorff dimension as well as fractal dimension of global ... |
Tesis Doctoral
![]() Dynamics of stochastic systems with delay and applications to real models
(2023)
In this thesis we investigate the long time behavior of random dynamical systems associ- ated to several kinds of stochastic ... |
Artículo
![]() Invariant manifolds for stochastic delayed partial differential equations of parabolic type
(Elsevier, 2023)
The aim of this paper is to prove the existence and smoothness of stable and unstable invariant manifolds for a stochastic ... |
Artículo
![]() Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model
(Elsevier, 2023)
In this paper, we investigate the classical chemostat model where the consumption function of the species, in both cases ... |
Artículo
![]() Convergence and Approximation of Invariant Measures for 2 Neural Field Lattice Models under Noise Perturbation
(Society for Industrial and Applied Mathematics, 2023)
This paper is mainly concerned with limiting behaviors of invariant measures for neural field latticemodels in a random ... |
Artículo
![]() Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise
(IOS Press, 2023)
In this work, we investigate stochastic fractional diffusion equations with Caputo-Fabrizio fractional derivatives and ... |
Artículo
![]() Random Dynamics and Limiting Behaviors for 3D Globally Modified Navier-Stokes Equations Driven by Colored Noise
(Wiley, 2023)
This paper is mainly concerned with the long-term random dynamics for the non-autonomous 3D globally modified Navier-Stokes ... |
Artículo
![]() Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space
(Elsevier, 2023)
This article studies the lattice long-wave-short-wave resonance equations in weighted spaces. The authors first prove the ... |
Artículo
![]() Mean attractors and invarant measures of locally monotone and generally coercive spdes driven by superlinear noise
(Elsevier, 2023)
We study the global solvability, mean attractors and invariant measures for an abstract locally monotone and generally ... |
Artículo
![]() Invariant measures for stochastic 3D Lagrangian-averaged Navier–Stokes equations with infinite delay
(Elsevier, 2023)
In this paper we investigate stochastic dynamics and invariant measures for stochastic 3D Lagrangian-averaged NavierStokes ... |
Artículo
![]() Continuity with respect to the Hurst parameter of solutions to stochastic evolution equations driven by H-valued fractional Brownian motion
(ScienceDirect, 2023)
In this work, the continuity with respect to the Hurst parameter of solutions to stochastic evolution equations is studied. ... |
Artículo
![]() Dynamics of multi-valued retarded p-Laplace equations driven by nonlinear colored noise
(American Institute of Physics, 2023)
This paper mainly considers the long-term behavior of p-Laplace equations with infinite delays driven by nonlinear colored ... |
Artículo
![]() Periodic measures for the stochastic delay modified Swift-Hohenberg lattice systems
(ScienceDirect, 2023)
In this paper, the existence and the limiting behavior of periodic measures for the periodic stochastic modified Swift-Hohenberg ... |
Artículo
![]() Nonlinear dynamical analysis for globally modified incompressible non-Newtonian fluids
(American Institute of Physics, 2023)
We present the global modification of the Ladyzhenskaya equations, for incompressible non-Newtonian fluids. This modification ... |
Artículo
![]() The asymptotic behaviour of solutions for stochastic evolution equations with pantograph delay
(World scientific, 2023)
The polynomial stability problem of stochastic delay differential equations has been studied in recent years. In contrast, ... |
Artículo
![]() New results for convergence problem of fractional diffusion equations when order approach to 1 −
(Project euclid, 2023)
This work studies the convergence problem for a class of fractional diffusion equations in which the time-derivative order ... |
Artículo
![]() Dynamics of Nonautomous Impulsive Multivalued Processes
(Springer, 2023)
In this paper we study the asymptotic behaviour of multivalued processes which are under the influence of impulsive action. ... |
Trabajo Fin de Grado |
Artículo
![]() Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System
(SIAM, 2023)
Existence and connection of numerical attractors for discrete-time p -Laplace lattice systems via the implicit Euler scheme ... |
Artículo
![]() Existence of weak solutions to nonlocal PDEs with a generalized definition of Caputo derivative
(Springer, 2022)
Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear ... |
Artículo
![]() Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate
(Bolyai Institute, University of Szeged, 2022)
This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) ... |
Artículo
![]() Ulam–Hyers stability of Caputo-type fractional fuzzy stochastic differential equations with delay
(Elsevier, 2022)
We explore a new kind of Caputo-type fractional fuzzy stochastic differential equations (FFSDEs) with delay. We establish ... |
Artículo
![]() Nontrivial equilibrium solutions and general 2 stability for stochastic evolution equations with pantograph delay and tempered fractional noise∗
(SIAM, 2022)
In this paper, we study the full compressible Navier--Stokes system in a bounded domain Ω⊂R3 , where the viscosity and ... |
Artículo
![]() New results for stochastic fractional pseudo-parabolic equations with delays driven by fractional Brownian motion
(Elsevier, 2022)
In this work, four problems for stochastic fractional pseudo-parabolic containing bounded and unbounded delays are ... |
Artículo
![]() Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
(AIMS, 2022)
A non-autonomous stochastic delay wave equation with linear memory and nonlinear damping driven by additive white noise ... |
Artículo
![]() Multi-valued random dynamics og stochastic wave equations with infinite delays
(AIMS, 2022)
This paper is devoted to the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with infinite ... |
Artículo
![]() Asymptotic behavior of nonlocal partial differential equations with long time memory
(AIMS, 2022)
In this paper, it is first addressed the well-posedness of weak solutions to a nonlocal partial differential equation with ... |
Artículo
![]() Dynamics of a globally modified Navier–Stokes model with double delay
(Springer, 2022)
This paper investigates the dynamics of a class of three-dimensional globally modified Navier-Stokes equations with double ... |
Artículo
![]() Mean square stability for controlled hybrid neutral stochastic differential equations with in nite delay
(Wiley, 2022)
In this article, we investigate the existence and uniqueness of solution of controlled hybrid neutral stochastic di erential ... |
Artículo
![]() Dynamical stability of random delayed FitzHugh-Nagumo lattice systems driven by nonlinear Wong-Zakai noise
(AIP Publishing, 2022)
In this paper, two problems related to FitzHugh-Nagumo lattice systems are analyzed. The first one is concerned with the ... |
Artículo
![]() A new result on stabilization analysis for stochastic nonlinear affine systems via Gamidov’s inequality
(Springer, 2022)
The Lyapunov approach is one of the most effective and efficient methods for the inves tigation of the stability of ... |
Artículo
![]() Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density
(Springer, 2022)
We extend the study of the random Hermite second-order ordinary differential equation to the fractional setting. We first ... |
Artículo
![]() Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
(Elsevier, 2022)
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is ... |
Artículo
![]() A 3D isothermal model for nematic liquid crystals 1 with delay terms
(2022)
In this paper we consider a model describing the evolution of a nematic liquid crystal flow with delay external forces. ... |
Artículo
![]() A mixed nonlinear time-fractional Rayleigh-Stokes equation
(AIMS, 2022)
. This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a ... |
Artículo
![]() Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise
(AIMS, 2022)
In this paper, we are concerned with the long-time behavior of stochastic fractional nonlocal reaction-diffusion equations ... |
Artículo
![]() Well-posedness of stochastic time fractional 2D-stokes models with finite and infinite delay
(Texas State University, 2022)
We analyze the well-posedness of two versions of a stochastic time delay fractional 2D-Stokes model with nonlinear ... |
Trabajo Fin de Máster |
Artículo
![]() Existence, degenerate regularity and limit behavior of trajectory statistical solution for the 3D incompressible micropolar fluids flows with damping term
(Springer, 2022)
This article studies the existence, degenerate regularity and limit behavior of the trajectory statistical solution for a ... |
Artículo
![]() Asymptotic stability of evolution systems of probability measures for nonautonomous stochastic systems: Theoretical results and applications
(Cornell University, 2022)
The limiting stability of invariant probability measures of time homogeneous transition semigroups for autonomous stochastic ... |
Artículo
![]() η-stability of hybrid neutral stochastic differential equations with infinite delay
(Wiley, 2022)
In this paper, we study the η-stability in q-th moment (η.s.q.m) of hybrid neutral stochastic differential equations with ... |
Artículo
![]() Partial asymptotic stability of neutral pantograph stochastic differential equations with Markovian switching
(Springer, 2022)
In this paper, we investigate the partial asymptotic stability (PAS) of neutral pantograph stochastic differential equations ... |
Artículo
![]() New criteria for global asymptotic stability of linear neutral differential equations by a fixed point approach
(Scopus, 2022)
New criteria ensuring global asymptotic stability of the zero solution for a class of linear neutral differential equations ... |
Artículo
![]() Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
(Elsevier, 2022)
In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for ... |
Artículo
![]() Ulam-Hyers-Rassias stability of neutral stochastic functional differential equations
(Taylor & Francis, 2022)
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. |
Artículo
![]() Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators
(Elsevier, 2022)
In this paper we consider the nonautonomous semilinear parabolic problems with time-dependent linear operators ut + A(t)u ... |
Artículo
![]() On a terminal value problem for parabolic reaction–diffusion systems with nonlocal coupled diffusivity terms
(Elsevier, 2022)
In this article, we are interested in investigating the nonlocal nonlinear reaction– diffusion system with final conditions. ... |
Artículo
![]() Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise
(World scientific, 2022)
This paper deals with fractional stochastic nonlocal partial differential equations driven by multiplicative noise. We ... |
Artículo
![]() Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations
(SIAM, 2022)
This paper is devoted to investigating the well-posedness and asymptotic behavior of a class of stochastic 5 nonlocal ... |
Artículo
![]() Strong solutions for semilinear problems with almost sectorial operators
(Springer, 2022)
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 ... |
Artículo
![]() On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
(Springer, 2021)
In this paper, we investigate the existence of positive periodic solutions for an n-species Lotka-Volterra system with ... |
Artículo
![]() p-th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching
(Elsevier, 2021)
In this paper we focus on the p-th moment exponential stability of neutral stochastic pantograph differential equations ... |
Artículo
![]() On a stochastic nonlocal system with discrete diffusion modeling life tables
(World scientific, 2021)
In this paper we study an stochastic system of differential equations with nonlocal discrete diffusion. For two type of ... |
Artículo
![]() h-stability in p-th moment of neutral pantograph stochastic di erential equations with Markovian switching driven by L evy noise
(Elsevier, 2021)
In this paper we investigate the h-stability in p-th moment of neutral pantograph stochastic differential equations with ... |
Artículo
![]() Analysis of a stochastic coronavirus (COVID-19) L´evy jump model with protective measures
(Taylor & Francis, 2021)
This paper studied a stochastic epidemic model of the spread of the novel coronavirus (COVID19). Severe factors impacting ... |
Artículo
![]() Continuity and topological structural stability for nonautonomous random attractors
(World scientific, 2021)
In this work, we study the continuity and topological structural stability of attractors for nonautonomous random differential ... |
Tesis Doctoral
![]() Singularly nonautonomous semilinear evolution equations with almost sectorial operators
(2021)
In this work we consider the singularly nonautonomous semilinear parabolic problem ut + A(t)u = F(u); t > ; u( ) = u0; in ... |
Artículo
![]() The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise
(World scientific, 2021)
We consider stochastic 2D-Stokes equations with unbounded delay in fractional power spaces and moments of order p ≥ 2 ... |
Artículo
![]() Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations
(World scientific, 2021)
This paper investigates the dynamics of a model of two chemostats connected by Fickian diffusion with bounded random ... |
Artículo
![]() New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations
(DOAJ, 2021)
This paper addresses the stability study for nonlinear neutral differ ential equations. Thanks to a new technique based ... |
Artículo
![]() Partial stability analysis of stochastic differential equations with a general decay rate
(Springer, 2021)
This paper is concerned with the almost sure partial practical stability of stochastic differential equations with general ... |
Artículo
![]() Dynamics of stochastic nonlocal partial differential equations
(Springer, 2021)
This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations ... |
Artículo
![]() Strong solution for singularly nonautonomous evolution equation with almost sectorial operators
(American Institute of Mathematical Sciences, 2021)
ct. In this paper we consider the singularly nonautonomous evolution problem ut + A(t)u = f(t), τ < t < τ + T; u(τ) = u0 ... |
Artículo
![]() On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative
(Elsevier, 2021)
In this work, we investigate the IVP for a time-fractional fourth-order equation with nonlinear source terms. More ... |
Artículo
![]() On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
(American Mathematical Society, 2021)
In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is ... |
Artículo
![]() Stability analysis of stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay
(Springer, 2021)
The asymptotic behaviour of stochastic three-dimensional Lagrangian-averaged Navier-Stokes equations with infinite delay ... |
Artículo
![]() On stochastic nonclassical diffusion equation with standard and fractional Brownian motion
(World scientific, 2021)
This paper is concerned with the mathematical analysis of terminal value problems for a stochastic non-classical diffusion ... |
Artículo
![]() New stability criteria for stochastic perturbed singular systems in mean square
(Springer, 2021)
In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using ... |
Artículo
![]() On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions
(IOS Press, 2021)
In this paper, we study two terminal value problems (TVPs) for stochastic bi-parabolic equations perturbed by standard ... |
Artículo
![]() Partial practical exponential stability of neutral stochastic functional di erential equa- tions with Markovian switching
(Springer, 2021)
In this paper, we investigate the partial practical exponential stability of neutral stochastic functional differential ... |
Artículo
![]() 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)
In this corrigendum we correct an error in our paper [T. Caraballo, R. Colucci, J. López-de-la-Cruz and A. Rapaport. A way ... |
Artículo
![]() Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices
(Elsevier, 2021)
We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we ... |
Artículo
![]() G-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data
(International Press, 2021)
In this paper, a class of complex Ginzburg–Landau equations with random initial data is investigated, where the randomness ... |
Artículo
![]() Transportation inequalities for coupled systems of stochastic delay evolution equations with a fractional Brownian motion
(Taylor and Francis Online, 2021)
We prove an existence and uniqueness result of mild solution for a system of stochastic semilinear differential equations ... |
Artículo
![]() On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
(Springer, 2021)
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic ... |
Artículo
![]() Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics
(AIMS Press, 2021)
This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random ... |
Artículo
![]() Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2021)
In this article, the authors investigate the system of Schr odinger and Klein-Gordon equations with Yukawa coupling. They ... |
Artículo
![]() Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions
(Springer, 2021)
In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by ... |
Artículo
![]() Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions
(Springer, 2021)
In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by ... |
Artículo
![]() Regularity of global attractors and exponential attractors for 2D quasi-geostrophic equations with fractional dissipation
(AIMS, 2021)
In this paper we investigate the regularity of global attractors and of exponential attractors for two dimensional ... |
Artículo
![]() Pullback exponential attractors for differential equations with delay
(American Institute of Mathematical Sciences, 2021)
We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. We considered ... |
Artículo
![]() The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations
(ScienceDirect, 2021)
In this work, we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic ... |
Artículo
![]() Stability of delay evolution equations with fading stochastic perturbations
(Taylor & Francis, 2020)
Stability of nonlinear delay evolution equation with stochastic perturbations is considered. It is shown that if the level ... |
Artículo
![]() Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays
(Elsevier, 2020)
This article investigates the three-dimensional globally modified Navier-Stokes equations with unbounded variable delays. ... |
Artículo
![]() Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonas aeruginosa infection
(Elsevier, 2020)
This work discloses an epidemiological mathematical model to predict an empirical treatment for dogs infected by Pseudomonas ... |
Artículo
![]() Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains
(Cambrigde Core, 2020)
This paper is concerned with the asymptotic behavior of solutions to a class of non-autonomous stochastic nonlinear wave ... |
Artículo
![]() Stability with respect to a part of the variables of stochastic di erential equations driven by G-Brownian motion
(Springer, 2020)
In this paper, we investigate the pth moment exponential stability of stochastic dif- ferential equations driven by ... |
Artículo
![]() Practical stability with respect to a part of the variables of stochastic differential equations driven by G-Brownian motion
(Springer, 2020)
In this paper, practical stability with respect to a part of the variables of stochastic differential equations driven by ... |
Artículo
![]() Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate
(AIMS Press, 2020)
We revisit the chemostat model with Haldane growth function, here subject to bounded random disturbances on the input flow ... |
Artículo
![]() Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching
(Elsevier, 2020)
In this paper, we analyze a stochastic coronavirus (COVID-19) epidemic model which is perturbed by both white noise and ... |
Artículo
![]() Non-autonomous nonlocal partial differential equations with delay and memory
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2020)
The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary ... |
Artículo
![]() Stability of fractionally dissipative 2D quasi-geostrophic equation with infinite delay
(Springer, 2020)
In this paper, fractionally dissipative 2D quasi-geostrophic equations with an external force containing infinite delay ... |
Artículo
![]() Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems
(American Institute of Mathematical Sciences (AIMS), 2020)
In this paper, we first prove that the property of being a gradientlike general dynamical system and the existence of a ... |
Artículo
![]() On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation
(AIMS, 2020)
In this paper, we study two stochastic problems for time-fractional RayleighStokes equation including the initial value ... |
Artículo
![]() Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations
(AIMS PressAIMS Press, 2020)
In this paper we consider a non-autonomous Navier-Stokes-Voigt model including a variety of delay terms in a unified ... |
Artículo
![]() ON INITIAL AND TERMINAL VALUE PROBLEMS FOR FRACTIONAL NONCLASSICAL DIFFUSION EQUATIONS
(American Mathematical Society, 2020)
In this paper, we consider fractional nonclassical diffusion equations under two forms: initial value problem and terminal ... |
Artículo
![]() Robustness of exponential dichotomy in a class of generalised almost periodic linear differential equations in infinite dimensional Banach spaces
(Springer, 2020)
In this paper we study the robustness of the exponential dichotomy in nonautonomous linear ordinary differential equations ... |
Artículo
![]() A free boundary tumor model with time dependent nutritional supply
(Elsevier, 2020)
A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion ... |
Artículo
![]() Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications
(Elsevier, 2020)
In this article, we first prove, from the viewpoint of infinite dynamical system, sufficient conditions ensuring the ... |
Tesis Doctoral
![]() A contribution to the analysis of time fractional stochastic functional partial differential equations and applications
(2020)
On the one hand, the classical heat equation∂tu= ∆udescribes heatpropagation in a homogeneous medium, while the time ... |
Artículo
![]() A STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE
(AIMS Press, 2020)
In this paper, we study a stochastic epidemic model with isolation and nonlinear incidence. In particular, we propose a ... |
Tesis Doctoral
![]() Dynamical systems applied to consciousness and brain rhythms in a neural network
(2020)
This thesis applies the great advances of modern dynamical systems theory (DST) to consciousness. Consciousness, or ... |
Artículo
![]() Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel
(Elsevier, 2020)
In this work, we investigate a stochastic epidemic model with relapse and distributed delay. First, we prove that our model ... |
Artículo
![]() STABILITY ANALYSIS OF A DELAY DIFFERENTIAL KALDOR’S MODEL WITH GOVERNMENT POLICIES
(Mathematica Scandinavica [Independent Journal], 2020)
This paper is devoted to analyze the stability of the economy according to an extended version of Kaldor's economic growth ... |
Artículo
![]() Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process
(American Institute of Mathematical Sciences (AIMS), 2020)
The existence and uniqueness of mild solution of an impulsive stochastic system driven by a Rosenblatt process is analyzed ... |
Artículo
![]() Stability results for neutral stochastic functional differential equations via fixed point methods
(Taylor and Francis, 2020)
In this paper we prove some results on the mean square asymptotic stability of a class of neutral stochastic differential ... |
Artículo
![]() Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations
(Elsevier, 2020)
The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory ... |
Artículo
![]() Existence of periodic positive solutions to a nonlinear Lotka-Votlerra competition systems
(AGH University of Science and Technology Press, 2020)
We investigate the existence of positive periodic solutions of a nonlinear Lotka-Volterra competition system with deviating ... |
Artículo
![]() Mathematical methods for the randomized non-autonomous Bertalanffy model
(Texas State University, 2020)
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, ... |
Artículo
![]() Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term
(Springer, 2020)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term ... |
Artículo
![]() Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique
(Taylor and Francis, 2020)
This paper considers a new model in search theory to find a randomly located target in the 3-dimensional space. An ... |
Artículo
![]() Practical stability with respect to a part of variables of stochastic differential equations
(Taylor & Francis, 2020)
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations ... |
Artículo
![]() Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems
(Springer, 2019)
In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of ... |
Artículo
![]() Analysis of a stochastic 2D–Navier-Stokes model with infinite delay
(Springer, 2019)
Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics ... |
Artículo
![]() Mild Solutions to Time Fractional Stochastic 2D-Stokes Equations with Bounded and Unbounded Delay
(Springer, 2019)
In this paper, the well-posedness of stochastic time fractional 2D-Stokes equations of order α ∈ (0, 1) containig finite ... |
Artículo
![]() Existence and regularity results for terminal value problem for nonlinear fractional wave equations
(IOP Science, 2019)
We consider the terminal value problem (or called nal value problem, initial inverse prob- lem, backward in time problem) ... |
Artículo
![]() A way to model stochastic perturbations in population dynamics models with bounded realizations
(Elsevier, 2019)
In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy ... |
Artículo
![]() On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations
(American Institute of Mathematical Sciences, 2019)
In this paper, under a local Lipschitz condition and a monotonicity condition, the problems on the existence and uniqueness ... |
Tesis Doctoral
![]() Resolubility of linear Cauchy problems on Fréchet spaces and a delayed Kaldor’s model
(2019)
The long-run aim of this thesis is to solve delay differential equations with infinite delay of the type d dt u(t) = ... |
Artículo
![]() Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems
(De Gruyter, 2019)
In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of ... |
Artículo
![]() Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay
(Elsevier, 2019)
We randomize the following class of linear differential equations with delay, x 0 τ (t) = axτ(t) + bxτ(t − τ), t > 0, and ... |
Artículo
![]() Trajectory and global attractors for generalized processes
(American Institute of Mathematical Sciences, 2019)
In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem ... |
Artículo
![]() Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay
(Elsevier, 2019)
This paper is concerned with the well-posedness and dynamics of delay impulsive fractional stochastic evolution equations ... |
Artículo
![]() Modeling and analysis of random and stochastic input flows in the chemostat model
(American Institute of Mathematical Sciences, 2019)
In this paper we study a new way to model noisy input flows in the chemostat model, based on the Ornstein-Uhlenbeck process. ... |
Artículo
![]() Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study
(American Institute of Mathematical, 2019)
In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ... |
Artículo
![]() The asymptotic behaviour of fractional lattice systems with variable delay
(De Gruyter, 2019)
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The ... |
Artículo
![]() Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation
(Elsevier, 2019)
Focusing on epidemic model in random environments, this paper uses white noise and Lévy noise to model the dynamics of the ... |
Artículo
![]() Long time behavior of fractional impulsive stochastic differential equations with infinite delay
(American Institute of Mathematical Sciences, 2019)
This paper is first devoted to the local and global existence of mild solutions for a class of fractional impulsive ... |
Artículo
![]() Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations
(Elsevier, 2019)
We first prove the existence and regularity of the trajectory attractor for a threedimensional system of globally modified ... |
Artículo
![]() Some remarks on an environmental defensive expenditures model
(American Institute of Mathematical Sciences, 2019)
In this paper, we consider the environmental defensive expenditures model with delay proposed by Russu in P. Russu, Hopf ... |
Artículo
![]() Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process
(Elsevier, 2019)
This paper focuses on a pumped-storage generating system with a reversible Francis turbine and presents an innovative ... |
Artículo
![]() Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2019)
In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential ... |
Artículo
![]() Existence of solutions and stability for impulsive neutral stochastic functional differential equations
(Taylor & Franci, 2019)
In this paper we prove some results on the existence of solutions and the mean square asymptotic stability for a class of ... |
Artículo
![]() Stability results for 2D Navier-Stokes equations with unbounded delay
(Elsevier, 2018)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving ... |
Artículo
![]() Exponential stability of an incompressible non-Newtonian fluid with delay
(American Institute of Mathematical Sciences, 2018)
The existence and uniqueness of stationary solutions to an incompressible non-Newtonian fluid are first established. The ... |
Artículo
![]() Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent
(Elsevier, 2018)
In this paper we obtain a detailed description of the global and cocycle attractors for the skew-product semiflows induced ... |
Artículo
![]() Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations
(Cambridge University Press, 2018)
In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion ... |
Tesis Doctoral
![]() Analysis of infinite dimensional dynamical systems associated to functional differential equations.
(2018)
Based on the theory of functional diferential equations, theory of semigroup, theory of random dynamical systems and theory ... |
Tesis Doctoral |
Artículo
![]() Robustness of time-dependent attractors in H1-norm for nonlocal problems
(American Institute of Mathematical Sciences, 2018)
In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are ... |
Artículo
![]() Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems
(Elsevier, 2018)
In this paper, we focus on studying the existence of attractors in the phase spaces L2(Ω) and Lp(Ω) (among others) for ... |
Artículo
![]() Analysis of a stochastic SIR model with fractional Brownian motion
(Taylor & Francis, 2018)
In this article, a stochastic version of a SIR nonautonomous model previously introduced in Kloeden and Kozyakin (2011) ... |
Ponencia
![]() Pullback attractors to analyze the effect of random and stochastic disturbances in the chemostat model
(2018)
In this talk, some random and stochastic disturbances in the chemostat model will be analyzed by making use of the modern ... |
Artículo
![]() A stochastic SIRI epidemic model with relapse and media coverage
(American Institute of Mathematical Sciences, 2018)
This work is devoted to investigate the existence and uniqueness of a global positive solution for a stochastic epidemic ... |
Artículo
![]() Dynamic evolution of a hydraulic-mechanical-electric system with randomly fluctuating speed based on Chebyshev polynomial approximation method
(Springer, 2018)
The research proposed in this paper focuses on the dynamic evolution of a hydraulic-mechanical-electric system under the ... |
Artículo
![]() A stochastic SIRI epidemic model with Lévy noise
(American Institute of Mathematical Sciences, 2018)
Some diseases such as herpes, bovine and human tuberculosis exhibit relapse in which the recovered individuals do not ... |
Artículo
![]() On a predator prey model with nonlinear harvesting and distributed delay
(American Institute of Mathematical Sciences, 2018)
A predator prey model with nonlinear harvesting (Holling type-II) with both constant and distributed delay is considered. ... |
Trabajo Fin de Grado
![]() Aplicación de los sistemas diferenciales al estudio de un modelo epidemiológico con reinfección
(2018)
Mathematical modeling, currently, is a very important element in health system, since it allows studying the incidence, ... |
Artículo
![]() Pullback attractor for a dynamic boundary non-autonomous problem with Infinite delay
(American Institute of Mathematical Sciences, 2018)
In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite ... |
Artículo
![]() Dynamics of a continuous Hénon model
(Wiley, 2018)
We study a continuous Hénon system obtained by considering the discrete original model in continuous time. While the ... |
Artículo
![]() Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
(American Institute of Mathematical Sciences, 2017)
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. |
Artículo
![]() Dynamics of a class of ODEs via wavelets
(American Institute of Mathematical Sciences, 2017)
The objective of this paper is to study a perturbed linear hyperbolic differential equation. The first part of this work ... |
Artículo
![]() Practical exponential stability of impulsive stochastic functional differential equations
(Elsevier, 2017)
This paper is devoted to the investigation of the practical exponential stability of impulsive stochastic functional ... |
Artículo
![]() Well-posedness and dynamics of a fractional stochastic integro-differential equation
(Elsevier, 2017)
In this paper we investigate the well-posedness and dynamics of a fractional stochastic integro-differential equation ... |
Artículo
![]() Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion
(American Institute of Mathematical Sciences, 2017)
This paper is concerned with the existence and continuous dependence of mild solutions to stochastic differential equations ... |
Artículo
![]() Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory
(Springer, 2017)
The existence and limiting behavior of the solutions of stochastic parabolic problems with thermal memory are investigate ... |
Artículo
![]() Dynamics of some stochastic chemostat models with multiplicative noise
(American Institute of Mathematical Sciences, 2017)
In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, ... |
Artículo
![]() 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)
In this paper we correct an error made in our paper [Blouhi, T.; Caraballo, T.; Ouahab, A. Existence and stability results ... |
Artículo
![]() Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution
(American Institute of Mathematical Sciences, 2017)
In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To ... |
Artículo
![]() Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic
(American Institute of Mathematical Sciences, 2017)
We show existence and uniqueness of solutions for a non-classical and non-autonomous diffusion equation with infinite delay ... |
Artículo
![]() Attractors for a random evolution equation with infinite memory: Theoretical results
(American Institute of Mathematical Sciences, 2017)
The long-time behavior of solutions (more precisely, the existence of random pullback attractors) for an integro-differential ... |
Trabajo Fin de Grado
![]() Ecuaciones diferenciales con retardo: Aplicación a un modelo de quimiostato
(2017)
In this work we will study the theory of dynamical systems with application to a chemostat. Starting with the autonomous ... |
Trabajo Fin de Grado
![]() Estudio del comportamiento asintótico de un modelo en epidemiología
(2017)
Nowadays, mathematical models are one of the most popular tools to study epidemics due to the fact that they enable to ... |
Artículo
![]() A qualitative description of microstructure formation and coarsening phenomena for an evolution equation
(Springer, 2017)
We provide a qualitative description of microstructure formation and coarsening phenomena for the solutions of a singularly ... |
Artículo
![]() Attractors for impulsive non-autonomous dynamical systems and their relations
(Elsevier, 2017)
In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous case ... |
Artículo
![]() Stabilization of oscillations in a phase transition model
(Wiley, 2017)
In this paper we analyze a model presenting formation of microstructure depending on the parameters and the initial data. ... |
Artículo
![]() Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay
(International Press, 2017)
We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of ... |
Artículo
![]() A comparison between random and stochastic modeling for a SIR model
(American Institute of Mathematical Sciences, 2017)
In this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in P. E. Kloeden and ... |
Ponencia
![]() Random dynamical systems to analyze different ways of modeling stochastic chemostats
(2017)
In this talk, some different ways of modeling stochastic chemostats will be presented in order to obtain much more realistic ... |
Artículo
![]() Pullback, forward and chaotic dynamics in 1-D non-autonomous linear-dissipative equations
(IOP Publishing, 2017)
The global attractor of a skew product semiflow for a non-autonomous differential equation describes the asymptotic behaviour ... |
Artículo
![]() Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays
(World Scientific Publishing, 2016)
In this work we study the existence, uniqueness and asymptotic behavior of mild solutions for neutral stochastic partial ... |
Artículo
![]() Equi-attraction and continuity of attractors for skew-product semiflows
(American Institute of Mathematical Sciences, 2016)
In this paper we prove the equivalence between equi-attraction and continuity of attractors for skew-product semi-flows, ... |
Artículo
![]() Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
(Elsevier, 2016)
In this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect ... |
Artículo
![]() Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations
(Wiley, 2016)
In this work we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations ... |
Artículo
![]() Impulsive surfaces on dynamical systems
(Springer, 2016)
This work is devoted to the construction of impulsive sets in Rn. In the literature, there are many examples of impulsive ... |
Artículo
![]() Semi-Kolmogorov models for predation with indirect effects in random environments
(American Institute of Mathematical Sciences, 2016)
In this work we study semi-Kolmogorov models for predation with both the carrying capacities and the indirect effects ... |
Artículo
![]() Structure of the pullback attractor for a non-autonomous scalar differential inclusion
(American Institute of Mathematical Sciences, 2016)
The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical ... |
Tesis Doctoral
![]() Comportamiento asintótico en tiempo de ecuaciones en derivadas parciales no locales
(2016)
En las últimas décadas muchos investigadores han estado interesados en estudiar problemas no locales por su utilidad en ... |
Artículo
![]() Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay
(Wiley, 2016)
In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic ... |
Artículo
![]() Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion
(Taylor & Francis, 2016)
Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations ... |
Libro
![]() Applied nonautonomous and random dynamical systems
(Springer, 2016)
|
Artículo
![]() Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
(2016)
In this paper we investigate the long term behavior of a stochastic lattice dynamical system with a diffusive nearest ... |
Artículo
![]() Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay
(Taylor & Francis, 2016)
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. |
Capítulo de Libro
![]() Some aspects concerning the dynamics of stochastic chemostats
(Springer, 2016)
In this paper we study a simple chemostat model influenced by white noise which makes this kind of models more realistic. ... |
Capítulo de Libro
![]() A random model for immune response to virus in fluctuating environments
(Springer, 2016)
In this work we study a model for virus dynamics with a random immune response and a random production rate of susceptible ... |
Ponencia
![]() A survey on impulsive dynamical systems
(Bolyai Institute (University of Szeged), 2016)
In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous ... |
Artículo
![]() New trends on nonlinear dynamics and its applications
(American Institute of Mathematical Sciences, 2015)
This paper is the Preface of a special issue devoted to Nonlinear Dynamics and Complexity generated by the contributions ... |
Artículo
![]() Predation with indirect effects in fluctuating environments
(Springer, 2015)
We investigate the long term dynamics for a predation model of Plankton community with indirect effects, under fluctuating ... |
Artículo
![]() Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness
(Springer, 2015)
In this paper, we consider a non-autonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal ... |
Artículo
![]() On the practical global uniform asymptotic stability of stochastic differential equations
(Taylor & Francis, 2015)
The method of Lyapunov functions is one of the most effective ones for the investigation of stability of dynamical systems, ... |
Artículo
![]() Practical stability of stochastic delay evolution equations
(Springer, 2015)
In this paper we investigate the almost sure practical stability for a class of stochastic functional evolution equations. ... |
Artículo
![]() Chemostats with random inputs and wall growth
(John Wiley & Sons, 2015)
Chemostat refers to a laboratory device used for growing microorganisms in a cultured environment, and has been regarded ... |
Artículo
![]() Nonautonomous chemostats with variable delays
(Society for Industrial and Applied Mathematics, 2015)
The appearance of delay terms in a chemostat model can be fully justified since the future behavior of a dynamical system ... |
Artículo
![]() Effects of additive and multiplicative noise on the dynamics of a parabolic equation
(Natural Sciences Publishing Corporation, 2015)
We consider the effects of additive and multiplicative noise on the asymptotic behavior of a fourth order parabolic equation ... |
Artículo
![]() Exponential behavior of solutions to stochastic integrodifferential equations with distributed delays
(Taylor & Francis Inc., 2015)
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. |
Ponencia |
Artículo
![]() Asymptotic stability of neutral stochastic functional integro-differential equations with impulses
(Institute of Mathematical Statistics, 2015)
This paper is concerned with the existence and asymptotic stability in the \,p-th moment of mild solutions of nonlinear ... |
Artículo
![]() Dynamics of nonautonomous chemostat models
(2015)
Chemostat models have a long history in the biological sciences as well as in biomathematics. Hitherto most investigations ... |
Artículo
![]() On the stability of impulsive functional differential equations with infinite delays
(2015)
In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. ... |
Artículo
![]() Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
(Pergamon Press, 2015)
This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and ... |
Artículo
![]() Well--posedness and asymptotic behaviour for a non-classical and non-autonomous diffusion equation with delay
(2015)
In this paper, it is analyzed a non-classical non-autonomous di_usion equation with delay. First, the well-posedness and ... |
Artículo
![]() Attractors for non-autonomous retarded lattice dynamical systems
(De Gruyter Open, 2015)
In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative ... |
Artículo
![]() Practical exponential stability in mean square of stochastic partial differential equations
(Springer - Verlag Italia Srl, 2015)
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. |
Artículo
![]() A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions
(2015)
In this survey paper we review several aspects related to Navier-Stokes models when some hereditary characteristics ... |
Artículo
![]() Chemostats with time-dependent inputs and wall growth
(Natural Sciences Publishing Corporation, 2015)
Traditional assumptions in the simple chemostat model include fixed availability of the nutrient and its supply rate, and ... |
Artículo
![]() Morse decomposition of global attractors with infinite components
(2015)
In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, ... |
Tesis Doctoral
![]() Caracterización de los atractores en sistemas dinámicos no autónomos
(2014)
El estudio de los sistemas dinámicos es de gran importancia, ya que están relacionados con fenómenos del mundo real. Los ... |
Artículo
![]() Pullback attractor for a non-linear evolution equation in elasticity
(2014)
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld ... |
Artículo
![]() Fixed points and exponential stability for stochastic partial integro–differential equations with delays
(Research India Publications, 2014)
In this paper, we study the existence and asymptotic stability in the pth-moment of mild solutions of nonlinear impulsive ... |
Artículo
![]() On Differential Equations with Delay in Banach Spaces and Attractors for Retarded Lattice Dynamical Systems
(2014)
In this paper we first prove a rather general theorem about existence of solutions for an abstract differential equation ... |
Artículo
![]() Stability of delay evolution equations with stochastic perturbations
(2014)
The investigation of stability for hereditary systems is often related to the construction of Lyapunov functionals. The ... |
Artículo
![]() Existence results fortime-dependent neutral functional integrodifferential equations driven by a fractional Brownian motion
(Euclidean Press, 2014)
This article presents some results on existence and uniqueness of mild solutions to neutral stochastic functional evolution ... |
Artículo
![]() Asymptotic Behaviour of a Non-Autonomous Lorenz-84 System
(2014)
The so called Lorenz-84 model has been used in climatological studies, for example by coupling it with a low-dimensional ... |
Artículo
![]() Practical asymptotic stability of nonlinear stochastic evolution equations
(2014)
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. |
Artículo
![]() Asymptotic Behaviour of a Logistic Lattice System
(2014)
In this paper we study the asymptotic behaviour of solutions of a lattice dynamical system of a logistic type. Namely, we ... |
Artículo
![]() Stability of stationary solutions to 2D-Navier-Stokes models with delays
(International Press, 2014)
In this paper we establish some sufficient conditions for the exponential stability of the stationary solution to a ... |
Artículo
![]() Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion
(2014)
This paper deals with the existence, uniqueness and asymptotic behavior of mild solutions to neutral stochastic delay ... |
Artículo
![]() Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
(2013)
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a ... |
Artículo
![]() Non-autonomous morse-decomposition and Lyapunov functions for gradient-like processes
(2013)
We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) ... |
Artículo
![]() Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay
(2013)
A nonclassical nonautonomous diffusion equation with delay is analyzed. First, we prove the existence and uniqueness of ... |
Artículo
![]() On the Structure of the Global Attractor for Infinite-Dimensional Non-Autonomous Dynamical Systems with Weak Convergence
(2013)
The aim of this paper is to describe the structure of global attractors for infinite-dimensional non-autonomous dynamical ... |
Artículo
![]() Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
(2013)
The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation ... |
Artículo
![]() Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion
(2013)
This paper deals with the existence and uniqueness of mild solutions to neutral stochastic delay functional integro-di ... |
Artículo
![]() Skew Product Semiflows and Morse Decomposition
(2013)
This paper is devoted to the investigation of the dynamics of non-autonomous differential equations. The description of ... |
Artículo
![]() Attractivity for Neutral Functional Differential Equations
(2013)
We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results ... |
Artículo
![]() Pullback attractors for differential equations with multiple variable delays in Lipschitz nonlinearities
(2013)
We establish the results on the existence of pullback attractors for nonautonomous functional differential equations with ... |
Artículo
![]() The three dimensional globally modified Navier-Stokes equations: Recent developments
(2013)
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real in 2006 and have been ... |
Artículo
![]() Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
(Elsevier, 2012)
In this paper we study the asymptotic behavior of solutions of a first-order stochastic lattice dynamical system with a ... |
Artículo
![]() Random attractors for stochastic lattice systems with non-Lipschitz non-linearity
(2012)
In this paper we study the asymptotic behaviour of solutions of a first-order stochastic lattice dynamical system with an ... |
Artículo
![]() Gradient Infinite-Dimensional Random Dynamical Systems
(2012)
In this paper we introduce the concept of a gradient random dynamical system as a random semiflow possessing a continuous ... |
Artículo
![]() An Estimate On the Fractal Dimension of Attractors of Gradient-Like Dynamical Systems
(2012)
This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like ... |
Artículo
![]() Continuity of Lyapunov Functions and of Energy Level for a Generalized Gradient Semigroup
(2012)
The global attractor of a gradient-like semigroup has a Morse decomposition. Associated to this Morse decomposition there ... |
Artículo |
Artículo |
Tesis Doctoral
![]() ![]() Attractors for nonlinear and non-autonomous parabolic PDES in unbounded domains
(2011)
Este trabajo está dividido en cinco capítulos. En los Capítulos 1 y 3, se trata la parte teórica de los sistemas dinámicos ... |
Artículo
![]() A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor
(2011)
In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), ... |
Artículo
![]() Stability of Gradient Semigroups Under Perturbations
(2011)
In this paper we prove that gradient-like semigroups (in the sense of Carvalho and Langa (2009 J. Diff. Eqns 246 2646–68)) ... |
Tesis Doctoral
![]() Atractores pullback existencia y estructura para una ecuación de ondas con amortiguamiento no autónomo
(2011)
Este trabajo está dividido en dos partes. Una primera en la que se trata la parte teórica de los sistemas dinámicos autónomos ... |
Artículo
![]() Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations
(2011)
The aim of this paper is to study the almost periodic and asymptotically almost periodic solutions on (0,+1) of the Li´enard ... |
Artículo
![]() The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional brownian motion
(2011)
In this paper we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic ... |
Artículo
![]() On the asymptotic behaviour of a stochastic 3D Lans-Alpha model
(2011)
The long-time behaviour of a stochastic 3D LANS-® model on a bounded domain is analysed. First, we reformulate the model ... |
Artículo
![]() Three dimensional system of globally modified navier-Stokes equation with delay
(2010)
We prove the existence and uniqueness of strong solutions of a three-dimensional system of glob-ally modified Navier–Stokes ... |
Artículo
![]() Recent developments in dynamical systems: three perspectives
(2010)
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. |
Artículo
![]() Almost periodic and almost automorphic solutions of linear differential equations
(2010)
We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous ... |
Artículo
![]() Three-dimensional system of globally modified Navier-Stokes equations with delay
(2010)
We prove the existence and uniqueness of strong solutions of a three-dimensional system of globally modified Navier–Stokes ... |
Artículo
![]() H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation
(2010)
We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general ... |
Artículo
![]() Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
(2010)
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results ... |
Artículo |
Artículo
![]() Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
(2010)
In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations ... |
Artículo
![]() 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)
The existence of a pullback attractor for a reaction-diffusion equations in an unbounded domain containing a non-autonomous ... |
Artículo
![]() Global attractor for a non-autonomous integro-differential equation in materials with memory
(2010)
The long-time behavior of an integro-differential parabolic equation of diffusion type with memory terms, expressed by ... |
Artículo
![]() A gradient-like non autonomous evolution process
(2009)
In this paper we consider a dissipative damped wave equation with non-autonomous damping of the form utt + ¯(t)ut = ¢u + ... |
Artículo
![]() Asymptotic Behaviour of the Three-Dimensional Á-Navier-Stokes Model with Locally Lipschitz Delay Forcing Terms
(2009)
We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional ... |
Artículo
![]() Non-Autonomous Attractor for Integro-Differential Evolution Equations
(2009)
We show that infinite-dimensional integro-differential equations which involve an integral of the solution over the time ... |
Artículo
![]() Attractors for Differential Equations with Multiple Variable Delays
(2009)
We establish some results on the existence of pullback attractors for non-autonomous delay di fferential equations with ... |
Artículo
![]() Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
(2009)
The well-known Favard's theorem states that the linear differential equation x′=A(t)x+f(t) Turn MathJax on with Bohr ... |
Artículo
![]() Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II
(2009)
In this paper we continue the research started in a previous paper, where we proved that the linear differential equation (1) ... |
Artículo
![]() Synchronization of Systems with Multiplicative Noise
(2008)
The synchronization of Stratonovich stochastic di erential equations (SDE) with a one-sided dissipative Lipschitz drift ... |
Artículo
![]() Pullback Attractors for Stochastic Heat Equations in Materials with Memory
(2008)
We study the asymptotic behaviour of a non-autonomous stochastic reaction-diffusion equation with memory. In fact, we prove ... |
Artículo
![]() Non-autonomous and random attractors for delay random semilinear equations without uniqueness
(2008)
We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and ... |
Artículo
![]() Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
(2008)
In this paper, we consider a stochastic lattice di®erential equation with di®usive nearest neighbor interaction, a dissipative ... |
Artículo
![]() Invariant Measures and Statistical Solutions of the Globally Modified Navier-Stokes Equations
(2008)
We obtain regularity results for solutions of the three dimensional system of globally modified Navier-Stokes equations, ... |
Artículo
![]() Stabilisation of differential inclusions and PDEs without uniqueness by noise
(2008)
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without ... |
Ponencia
![]() Sobre la existencia de atractores para ecuaciones aleatorias de reacción-difusión con retardos
(2007)
En primer lugar probamos la existencia y unicidad de atractor para sistemas dinámicos multivaluados abstractos, tanto en ... |
Artículo
![]() Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay
(2007)
The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic ... |
Artículo
![]() Method of Lyapunov Functionals Construction in Stability of Delay Evolution Equations
(2007)
Stability investigation of hereditary systems often is connected with the construction of Lyapunov functionals. The general ... |
Artículo
![]() Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memory
(2007)
The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. ... |
Artículo
![]() Existence of exponentially attracting stationary solutions for delay evolution equations
(2007)
We consider the exponential stability of semilinear stochastic evolution equations with delays when zero is not a solution ... |
Artículo
![]() Attractors for differential equations with unbounded delays
(Elsevier, 2007)
We prove the existence of attractors for some types of differential problems containing infinite delays. Applications and ... |
Artículo
![]() The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations
(2007)
In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of ... |
Artículo
![]() Synchronization of a Stochastic Reaction-Diffusion System On a Thin Two-Layer Domain
(2007)
A system of semilinear parabolic stochastic partial differential equations with additive space-time noise is considered ... |
Artículo
![]() Levitan/Bohr Almost Periodic and Almost Automorphic Solutions of Second-Order Monotone Differential Equations
(2007)
The aim of this paper is to prove the existence of Levitan/Bohr almost periodic, almost automorphic, recurrent and Poisson ... |
Artículo
![]() Recent results on stabilization of PDEs by noise
(Sociedad Española de Matemática Aplicada, 2006)
This paper is intended to be a brief review on some recent results on the stabilization effect produced by noise in phenomena ... |
Artículo
![]() Global and Pullback Attractors of Set-Valued Skew Product Flows
(2006)
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle ... |
Artículo
![]() Pullback and forward attractors for a 3D Lans-alpha model with delay
(2006)
We analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we ... |
Artículo
![]() The effect of noise on the chafee-infante equation: a nonlinear case study
(2006)
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. ... |
Artículo
![]() Pullback attractors for asymptotically compact non-autonomous dynamical systems
(2006)
First, we introduce the concept of pullback asymptotically compact non-autonomous dynamical system as an extension of the ... |
Artículo
![]() Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains
(2006)
In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the ... |
Artículo
![]() Discretization of Asymptotically Stable Stationary Solutions of Delay Differential Equations with a Random Stationary Delay
(2006)
We prove the existence of a stationary random solution to a delay random ordinary differential system which attracts all ... |
Artículo
![]() Comparison of the long-time behaviour of linear Ito and Stratonovich partial differential equations
(2006)
In this paper, we point out the different long-time behaviour of stochastic partial differential equations when one considers ... |
Artículo
![]() Stabilization of Stationary Solutions of Evolution Equations by Noise
(2006)
We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic ... |
Artículo
![]() The pathwise numerical approximation of stationary solutions of semilinear stochastic evolution equations
(2006)
Under a one-sided dissipative Lipschitz condition on its drift, a stochastic evolution equation with additive noise of the ... |
Artículo
![]() On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations
(2006)
We prove existence and uniqueness of solutions for a stochastic version of the 3DLagrangian averaged Navier-Stokes (LANS-®) ... |
Artículo
![]() Stability of Nonlinear Functional Stochastic Evolution Equations of Second Order in Time
(2006)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations ... |
Artículo
![]() Asymptotic Behaviour of Monotone Multi-Valued Dynamical Systems
(2005)
We introduce the concept of a monotone multi-valued semi- ow as an order-preserving map. This de nition is motivated by ... |
Artículo
![]() Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations
(2005)
An abstract system of coupled nonlinear parabolic-hyperbolic partial differential equations subjected to additive white ... |
Artículo
![]() Addendum To "Global Attractors for Multivalued Random Dynamical Systems'' [Nonlinear Analysis 48(2002) 805-829]
(2005)
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 |
Artículo
![]() Autonomous and non-autonomous attractors for differential equations with delays
(2005)
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is ... |
Artículo
![]() On the stochastic 3D-Lagrangian averaged Navier-Stokes Alpha-Model with finite delay
(2005)
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. |
Tesis Doctoral
![]() Contribución al estudio de algunos modelos regidos por ecuaciones de evolución no autónomas y/o estocásticas
(2005)
"Como es bien conocido, las ecuaciones de Navier-Stokes gobiernan el movimiento de fluidos comunes como el agua, el aire, ... |
Artículo
![]() The persistence of synchronization under environmental noise
(2005)
It is shown that the synchronization of dissipative systems persists when they are disturbed by additive noise no matter ... |
Artículo
![]() Attractors for 2D-Navier-Stokes models with delays
(2004)
The existence of an attractor for a 2D-Navier-Stokes system with delay is proved. The theory of pullback attractors is ... |
Artículo
![]() Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation
(2004)
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous non-linearities when ... |
Artículo
![]() Stabilisation of linear PDEs by Stratonovich noise
(2004)
Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense ... |
Artículo
![]() Pullback and Forward Attractors for a Damped Wave Equation with Delays
(2004)
The existence of a pullback (and also a uniform forward) attractor is proved for a damped wave equation containing a delay ... |
Tesis Doctoral
![]() ![]() Existencia, unicidad y comportamiento asintótico en algunos sistemas dinámicos deterministas y estocásticos
(2003)
La memoria está compuesta de dos partes: la primera se enmarca dentro del Análisis Estocástico y la segunda parte en la ... |
Artículo
![]() Asymptotic Behaviour of 2D-Navier-Stokes Equations with Delays
(2003)
Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some ... |
Artículo
![]() Asymptotic stability of nonlinear stochastic evolution equations
(2003)
Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. ... |
Artículo
![]() The dimension of attractors of nonautonomous partial differential equations
(2003)
The concept of nonautonomous (or cocycle) attractor has become a proper tool for the study of the asymptotic behaviour of ... |
Artículo
![]() A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour
(2003)
This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their ... |
Artículo
![]() On the relationship between solutions of stochastic and random differential inclusions
(2003)
Some results on the relationship of the solutions of a stochastic di erential inclusion and the corresponding random di ... |
Artículo
![]() The exponential behaviour of nonlinear stochastic functional equations of second order in time
(2003)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations ... |
Artículo
![]() Weak pullback attractors of setvalued processes
(2003)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous ... |
Artículo
![]() Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
(2003)
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential ... |
Artículo
![]() Stochastic stabilization of differential systems with general decay rate
(2003)
Some sufficient conditions concerning stability of solutions of stochastic differential evolution equations with general ... |
Tesis Doctoral |
Artículo
![]() Existence and uniqueness of solutions for delay stochastic evolution equations
(2002)
Some results on the existence and uniqueness of solutions for stochastic evolution equations containing some hereditary ... |
Artículo
![]() The Exponential Behaviour and Stabilizability of Stochastic 2D-Navier-Stokes Equations
(2002)
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-Stokes equation are ... |
Artículo
![]() Global Attractors for Multivalued Random Dynamical Systems
(2002)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the ... |
Artículo
![]() On the decay rate of solutions of non-autonomous differential systems
(2001)
Some results on the asymptotic behaviour of solutions of diff erential equations concerning general decay rate are proved. ... |
Ponencia
![]() Approximation of attractors for multivalued random dynamical systems
(Masaryk University, 2001)
The concept of global attractor for stochastic partial differential inclusions has been recently introduced as a joint ... |
Artículo
![]() Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise
(2001)
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. |
Artículo
![]() Attractors for differential equations with variable delays
(2001)
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. |
Artículo
![]() A Stochastic Pitchfork Bifurcation in a Reaction-Diffusion Equation
(2001)
We study in some detail the structure of the random attractor for the Chafee{Infante reaction{di¬usion equation perturbed ... |
Artículo
![]() Navier-Stokes Equations with Delays
(2001)
Some results on the existence and uniqueness of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved. |
Artículo
![]() Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise
(2001)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the ... |
Artículo
![]() On Stabilization of Partial Differential Equations by Noise
(2001)
Some results on stabilization of (deterministic and stochastic) partial differential equations are established. In particular, ... |
Artículo
![]() Nonlinear Partial Functional Differential Equations: Existence and Stability
(2001)
Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are ... |
Artículo
![]() Asymptotic exponential stability for diffusion processes driven by stochastic differential equations in duals of nuclear spaces
(2001)
The main objective of this paper is to investigate the asymptotic stability for diffusion processes driven by a class of ... |
Artículo
![]() An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation
(2001)
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this ... |
Artículo
![]() Stability and random attractors for a reaction-diffusion equation with multiplicative noise
(2000)
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white ... |
Artículo
![]() Stochastic Functional Partial Differential Equations: Existence, Uniqueness and Asymptotic Decay Property
(2000)
Existence and uniqueness of strong solutions for a class of stochastic functional di fferential equations in Hilbert spaces ... |
Artículo
![]() On Exponential Stability Criteria of Stochastic Partial Differential Equations
(1999)
Some criteria for the mean square and almost sure exponential stability of nonlinear stochastic partial differential ... |
Artículo
![]() Tracking Properties of Trajectories On Random Attracting Sets
(1999)
The theory of random attracting sets highlights interesting properties of the asymptotic behaviour of some stochastic ... |
Artículo
![]() Exponential Stability of Mild Solutions of Stochastic Partial Differential Equations with Delays
(1999)
A semilinear stochastic partial differential equation with variable delays is considered. Sufficient conditions for the ... |
Artículo
![]() Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems
(1998)
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential ... |
Tesis Doctoral
![]() Atractores y comportamiento finito-dimensional en sistemas dinámicos aleatorios
(1998)
"En el Capítulo 1, presentamos una síntesis de los resultados básicos sobre atractores globales que pueden encontrarse en ... |
Artículo
![]() On the Pathwise Exponential Stability of Nonlinear Stochastic Partial-Differential Equations
(1994)
Sufficient conditions to get exponential stability for the sample paths (with probability one) of a non-linear monotone ... |
Artículo
![]() Partial Differential Equations with Delayed Random Perturbations: Existence, Uniqueness and Stability of Solutions
(1993)
We consider a stochastic non–linear Partial Differential Equation with delay which may be regarded as a perturbed equation. ... |
Artículo
![]() Non-Linear Stochastic Partial Differential Equations with Delays: Existence and Uniqueness of Solutions
(1991)
The main aim of this paper is to study stochastic PDE's with delay terms. In fact, we prove existence and uniqueness of ... |
Artículo
![]() Existence and Uniqueness of Solutions for Non-Linear Stochastic Partial Differential Equations
(1991)
We state some results on existence and uniqueness for the solution of non linear stochastic PDEs with deviating arguments. ... |
Artículo
![]() Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
(1990)
Sufficient conditions for pathwise asymptotic exponential stability of the solution of the stochastic PDE with delay d x ... |
Artículo
![]() Ecuaciones en derivadas parciales con perturbaciones estocásticas
(Universidad de Extremadura, 1989)
|
Artículo
![]() Condiciones suficientes de estabilidad para Ecuaciones en Derivadas Parciales estocásticas con retardos
(1988)
Sufficient conditions for pathwise exponential stability of the zero solution of stochastic PDE with deviating argument ... |
Tesis Doctoral
![]() Algunos resultados de estabilidad de ecuaciones en derivadas parciales estocásticas con retardos
(1988)
"En esta memoria presentamos una contribución al estudio de la estabilidad en la Ecuaciones en Derivadas Parciales ... |