Author profile: Caraballo Garrido, Tomás
Data
Name  Caraballo Garrido, Tomás 
Department  Ecuaciones Diferenciales y Análisis Num. 
Knowledge area  Análisis Matemático 
Professional category  Catedrático de Universidad 
Request  
Statistics

Items
246

Visits
22375

Downloads
32326
Publications 

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], 20210501)
In this corrigendum we correct an error in our paper [T. Caraballo, R. Colucci, J. LópezdelaCruz and A. Rapaport. A way ... 
Article
Bounded random fluctuations on the input flow in chemostat models with wall growth and nonmonotonic kinetics
(AIMS Press, 20210204)
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 KleinGordonSchrödinger equations
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 20210128)
In this article, the authors investigate the system of Schr odinger and KleinGordon equations with Yukawa coupling. They ... 
Article
Pullback exponential attractors for differential equations with delay
(American Institute of Mathematical Sciences, 20210101)
We show the existence of an exponential attractor for nonautonomous dynamical system with bounded delay. We considered ... 
Article
The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations
(ScienceDirect, 20210101)
In this work, we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic ... 
Article
Dynamics and numerical simulations to predict empirical antibiotic treatment of multiresistant Pseudomonas aeruginosa infection
(Elsevier, 20201201)
This work discloses an epidemiological mathematical model to predict an empirical treatment for dogs infected by Pseudomonas ... 
Article
Invariant measures for the 3D globally modified NavierStokes equations with unbounded variable delays
(Elsevier, 20201201)
This article investigates the threedimensional globally modified NavierStokes equations with unbounded variable delays. ... 
Article
Study of the chemostat model with nonmonotonic growth under random disturbances on the removal rate
(AIMS Press, 20201029)
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 (COVID19) epidemic model with Markovian switching
(Elsevier, 20201016)
In this paper, we analyze a stochastic coronavirus (COVID19) epidemic model which is perturbed by both white noise and ... 
Article
Nonautonomous nonlocal partial differential equations with delay and memory
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 20200915)
The paper addresses a kind of nonautonomous nonlocal parabolic equations when the external force contains hereditary ... 
Article
Morse decomposition for gradientlike multivalued autonomous and nonautonomous dynamical systems
(American Institute of Mathematical Sciences (AIMS), 20200801)
In this paper, we first prove that the property of being a gradientlike general dynamical system and the existence of a ... 
Article
Long time dynamics for functional threedimensional NavierStokesVoigt equations
(AIMS PressAIMS Press, 20200624)
In this paper we consider a nonautonomous NavierStokesVoigt 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, 20200611)
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, 20200601)
A nonautonomous 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, 20200601)
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
(20200520)
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, 20200501)
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
(20200421)
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, 20200401)
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], 20200329)
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 integrodifferential equations with impulses driven by a Rosenblatt process
(American Institute of Mathematical Sciences (AIMS), 20200201)
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 nonautonomous Bertalanffy model
(Texas State University, 20200101)
In this article we analyze the randomized nonautonomous 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 LotkaVotlerra competition systems
(AGH University of Science and Technology Press, 20200101)
We investigate the existence of positive periodic solutions of a nonlinear LotkaVolterra competition system with deviating ... 
Article
Extremal bounded complete trajectories for nonautonomous reactiondiffusion equations with discontinuous forcing term
(Springer, 20200101)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term ... 
Article
Stability results for neutral stochastic functional differential equations via fixed point methods
(Taylor and Francis, 20200101)
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 3dimensional search technique
(Taylor and Francis, 20200101)
This paper considers a new model in search theory to find a randomly located target in the 3dimensional space. An ... 
Article
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations
(Elsevier, 20200101)
The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory ... 
Article
Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems
(Springer, 20191205)
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–NavierStokes model with infinite delay
(Springer, 20191201)
Some results concerning a stochastic 2D NavierStokes system when the external forces contain hereditary characteristics ... 
Article
On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations
(American Institute of Mathematical Sciences, 20191001)
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, 20191001)
In this paper, we analyze the use of the OrnsteinUhlenbeck 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
(20190906)
The longrun aim of this thesis is to solve delay differential equations with infinite delay of the type d dt u(t) = ... 
Article
HyersUlam stability for coupled random fixed point theorems and applications to periodic boundary value random problems
(De Gruyter, 20190901)
In this paper, we prove some existence, uniqueness and HyersUlam 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, 20190901)
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, 20190801)
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, 20190801)
In this paper we study a new way to model noisy input flows in the chemostat model, based on the OrnsteinUhlenbeck process. ... 
Article
Wellposedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay
(Elsevier, 20190801)
This paper is concerned with the wellposedness 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, 20190601)
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, 20190601)
In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ... 
Article
Long time behavior of fractional impulsive stochastic differential equations with infinite delay
(American Institute of Mathematical Sciences, 20190601)
This paper is first devoted to the local and global existence of mild solutions for a class of fractional impulsive ... 
Article
The asymptotic behaviour of fractional lattice systems with variable delay
(De Gruyter, 20190601)
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The ... 
Article
Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified NavierStokes equations
(Elsevier, 20190515)
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, 20190301)
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 pumpedstorage generating system in a transient process
(Elsevier, 20190201)
This paper focuses on a pumpedstorage 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 ClujNapoca, 20190201)
In this paper we prove the existence of mild solutions for a firstorder impulsive semilinear stochastic differential ... 
Article
Existence of solutions and stability for impulsive neutral stochastic functional differential equations
(Taylor & Franci, 20190101)
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 NavierStokes equations with unbounded delay
(Elsevier, 20181205)
Some results related to 2D NavierStokes equations when the external force contains hereditary characteristics involving ... 
Article
Exponential stability of an incompressible nonNewtonian fluid with delay
(American Institute of Mathematical Sciences, 20181201)
The existence and uniqueness of stationary solutions to an incompressible nonNewtonian fluid are first established. The ... 
Article
Global and cocycle attractors for nonautonomous reactiondiffusion equations. The case of null upper Lyapunov exponent
(Elsevier, 20181105)
In this paper we obtain a detailed description of the global and cocycle attractors for the skewproduct semiflows induced ... 
Article
Timedependent attractors for nonautonomous nonlocal reactiondiffusion equations
(Cambridge University Press, 20181001)
In this paper, the existence and uniqueness of weak and strong solutions for a nonautonomous nonlocal reactiondiffusion ... 
PhD Thesis
Analysis of infinite dimensional dynamical systems associated to functional differential equations.
(20180628)
Based on the theory of functional diferential equations, theory of semigroup, theory of random dynamical systems and theory ... 
PhD Thesis 
Article
Robustness of timedependent attractors in H1norm for nonlocal problems
(American Institute of Mathematical Sciences, 20180501)
In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1norm are ... 
Article
Asymptotic behaviour of nonlocal pLaplacian reactiondiffusion problems
(Elsevier, 20180301)
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
(20180101)
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, 20180101)
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, 20180101)
We study a continuous Hénon system obtained by considering the discrete original model in continuous time. While the ... 
Article
Dynamic evolution of a hydraulicmechanicalelectric system with randomly fluctuating speed based on Chebyshev polynomial approximation method
(Springer, 20180101)
The research proposed in this paper focuses on the dynamic evolution of a hydraulicmechanicalelectric system under the ... 
Article
On a predator prey model with nonlinear harvesting and distributed delay
(American Institute of Mathematical Sciences, 20180101)
A predator prey model with nonlinear harvesting (Holling typeII) with both constant and distributed delay is considered. ... 
Article
Pullback attractor for a dynamic boundary nonautonomous problem with Infinite delay
(American Institute of Mathematical Sciences, 20180101)
In this work we prove the existence of solution for a pLaplacian nonautonomous problem with dynamic boundary and infinite ... 
Article
A stochastic SIRI epidemic model with Lévy noise
(American Institute of Mathematical Sciences, 20180101)
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, 20180101)
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
(20180101)
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, 20171201)
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, 20171101)
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, 20171101)
The objective of this paper is to study a perturbed linear hyperbolic differential equation. The first part of this work ... 
Article
Wellposedness and dynamics of a fractional stochastic integrodifferential equation
(Elsevier, 20170915)
In this paper we investigate the wellposedness and dynamics of a fractional stochastic integrodifferential equation ... 
Article
Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory
(Springer, 20170901)
The existence and limiting behavior of the solutions of stochastic parabolic problems with thermal memory are investigate ... 
Article
Stochastic differential equations with noninstantaneous impulses driven by a fractional Brownian motion
(American Institute of Mathematical Sciences, 20170901)
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, 20170801)
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, 20170801)
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, 20170701)
The longtime behavior of solutions (more precisely, the existence of random pullback attractors) for an integrodifferential ... 
Article
Global attractor for a nonlocal pLaplacian equation without uniqueness of solution
(American Institute of Mathematical Sciences, 20170701)
In this paper, the existence of solution for a pLaplacian parabolic equation with nonlocal diffusion is established. To ... 
Article
Asymptotic behaviour of a nonclassical and nonautonomous diffusion equation containing some hereditary characteristic
(American Institute of Mathematical Sciences, 20170701)
We show existence and uniqueness of solutions for a nonclassical and nonautonomous diffusion equation with infinite delay ... 
Final Degree Project
Ecuaciones diferenciales con retardo: Aplicación a un modelo de quimiostato
(20170601)
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
(20170601)
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, 20170401)
We provide a qualitative description of microstructure formation and coarsening phenomena for the solutions of a singularly ... 
Article
Attractors for impulsive nonautonomous dynamical systems and their relations
(Elsevier, 20170315)
In this work, we deal with several different notions of attractors that may appear in the impulsive nonautonomous case ... 
Article
Stabilization of oscillations in a phase transition model
(Wiley, 20170201)
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 1D nonautonomous lineardissipative equations
(IOP Publishing, 20170101)
The global attractor of a skew product semiflow for a nonautonomous differential equation describes the asymptotic behaviour ... 
Article
A comparison between random and stochastic modeling for a SIR model
(American Institute of Mathematical Sciences, 20170101)
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 nonautonomous incompressible nonNewtonian fluid with delay
(International Press, 20170101)
We first study the wellposedness of a nonautonomous incompressible nonNewtonian fluid with delay. The existence of ... 
Presentation
Random dynamical systems to analyze different ways of modeling stochastic chemostats
(20170101)
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, 20161201)
In this work we study the existence, uniqueness and asymptotic behavior of mild solutions for neutral stochastic partial ... 
Article
Equiattraction and continuity of attractors for skewproduct semiflows
(American Institute of Mathematical Sciences, 20161101)
In this paper we prove the equivalence between equiattraction and continuity of attractors for skewproduct semiflows, ... 
Article
Impulsive surfaces on dynamical systems
(Springer, 20161001)
This work is devoted to the construction of impulsive sets in Rn. In the literature, there are many examples of impulsive ... 
Article
Nonautonomous dynamics of a semiKolmogorov population model with periodic forcing
(Elsevier, 20161001)
In this paper we study a semiKolmogorov type of population model, arising from a predatorprey system with indirect ... 
Article
Mild solutions of nonLipschitz stochastic integrodifferential evolution equations
(Wiley, 20161001)
In this work we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations ... 
Article
SemiKolmogorov models for predation with indirect effects in random environments
(American Institute of Mathematical Sciences, 20160901)
In this work we study semiKolmogorov models for predation with both the carrying capacities and the indirect effects ... 
Article
Structure of the pullback attractor for a nonautonomous scalar differential inclusion
(American Institute of Mathematical Sciences, 20160801)
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
(20160623)
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, 20160401)
In this paper, we prove the existence of mild solutions for the following firstorder impulsive semilinear stochastic ... 
Article
Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion
(Taylor & Francis, 20160101)
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, 20160101)
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, 20160101)
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, 20160101)

Chapter of Book
A random model for immune response to virus in fluctuating environments
(Springer, 20160101)
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), 20160101)
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
(20160101)
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, 20151201)
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, 20150630)
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, 20150617)
In this paper, we consider a nonautonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal ... 
Article
On the practical global uniform asymptotic stability of stochastic differential equations
(Taylor & Francis, 20150604)
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, 20150423)
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, 20150312)
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., 20150101)
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 nondelay part generates a C0semigroup. 
Presentation 
Article
Effects of additive and multiplicative noise on the dynamics of a parabolic equation
(Natural Sciences Publishing Corporation, 20150101)
We consider the effects of additive and multiplicative noise on the asymptotic behavior of a fourth order parabolic equation ... 
Article
A survey on NavierStokes models with delays: Existence, uniqueness and asymptotic behavior of solutions
(20150101)
In this survey paper we review several aspects related to NavierStokes models when some hereditary characteristics ... 
Article
Asymptotic stability of neutral stochastic functional integrodiﬀerential equations with impulses
(Institute of Mathematical Statistics, 20150101)
This paper is concerned with the existence and asymptotic stability in the \,pth moment of mild solutions of nonlinear ... 
Article
Practical exponential stability in mean square of stochastic partial differential equations
(Springer  Verlag Italia Srl, 20150101)
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
(20150101)
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
(20150101)
In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. ... 
Article
Longtime behavior of a nonautonomous parabolic equation with nonlocal diffusion and sublinear terms
(Pergamon Press, 20150101)
This paper is devoted to study the asymptotic behavior of a timedependent parabolic equation with nonlocal diffusion and ... 
Article
Chemostats with timedependent inputs and wall growth
(Natural Sciences Publishing Corporation, 20150101)
Traditional assumptions in the simple chemostat model include fixed availability of the nutrient and its supply rate, and ... 
Article
Wellposedness and asymptotic behaviour for a nonclassical and nonautonomous diffusion equation with delay
(20150101)
In this paper, it is analyzed a nonclassical nonautonomous di_usion equation with delay. First, the wellposedness and ... 
Article
Nonautonomous chemostats with variable delays
(Society for Industrial and Applied Mathematics, 20150101)
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
(20150101)
In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, ... 
Article
Attractors for nonautonomous retarded lattice dynamical systems
(De Gruyter Open, 20150101)
In this paperwe study a nonautonomous lattice dynamical system with delay. Under rather general growth and dissipative ... 
PhD Thesis
Caracterización de los atractores en sistemas dinámicos no autónomos
(20140321)
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 2DNavierStokes models with delays
(International Press, 20140101)
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
(20140101)
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 integrodifferential equations driven by a fractional Brownian motion
(20140101)
This paper deals with the existence, uniqueness and asymptotic behavior of mild solutions to neutral stochastic delay ... 
Article
Asymptotic Behaviour of a NonAutonomous Lorenz84 System
(20140101)
The so called Lorenz84 model has been used in climatological studies, for example by coupling it with a lowdimensional ... 
Article
Stability of delay evolution equations with stochastic perturbations
(20140101)
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
(20140101)
In this paper we first prove a rather general theorem about existence of solutions for an abstract differential equation ... 
Article
Pullback attractor for a nonlinear evolution equation in elasticity
(20140101)
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
(20140101)
In this paper we establish some su cient conditions ensuring almost sure practical asymptotic stability with a nonexponential 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, 20140101)
In this paper, we study the existence and asymptotic stability in the pthmoment of mild solutions of nonlinear impulsive ... 
Article
Existence results fortimedependent neutral functional integrodifferential equations driven by a fractional Brownian motion
(Euclidean Press, 20140101)
This article presents some results on existence and uniqueness of mild solutions to neutral stochastic functional evolution ... 
Article
Pullback attractors for a nonautonomous integrodifferential equation with memory in some unbounded domains
(20130101)
The main aim of this paper is to analyse the asymptotic behaviour of a nonautonomous integrodifferential parabolic equation ... 
Article
Nonautonomous morsedecomposition and Lyapunov functions for gradientlike processes
(20130101)
We define (time dependent) Morsedecompositions for nonautonomous evolution processes (nonautonomous dynamical systems) ... 
Article
Pullback attractors for differential equations with multiple variable delays in Lipschitz nonlinearities
(20130101)
We establish the results on the existence of pullback attractors for nonautonomous functional differential equations with ... 
Article
Neutral stochastic delay partial functional integrodifferential equations driven by a fractional Brownian motion
(20130101)
This paper deals with the existence and uniqueness of mild solutions to neutral stochastic delay functional integrodi ... 
Article
On the Structure of the Global Attractor for InfiniteDimensional NonAutonomous Dynamical Systems with Weak Convergence
(20130101)
The aim of this paper is to describe the structure of global attractors for infinitedimensional nonautonomous dynamical ... 
Article
The three dimensional globally modified NavierStokes equations: Recent developments
(20130101)
The globally modified NavierStokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real in 2006 and have been ... 
Article
Attractivity for Neutral Functional Differential Equations
(20130101)
We study the long term dynamics of nonautonomous functional di fferential equations. Namely, we establish existence results ... 
Article
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay
(20130101)
A nonclassical nonautonomous diffusion equation with delay is analyzed. First, we prove the existence and uniqueness of ... 
Article
Random attractors for stochastic 2DNavierStokes equations in some unbounded domains
(20130101)
We show that the stochastic flow generated by the 2dimensional Stochastic NavierStokes equations with rough noise on a ... 
Article
Skew Product Semiflows and Morse Decomposition
(20130101)
This paper is devoted to the investigation of the dynamics of nonautonomous differential equations. The description of ... 
Article
An Estimate On the Fractal Dimension of Attractors of GradientLike Dynamical Systems
(20120101)
This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradientlike ... 
Article 
Article 
Article
Continuity of Lyapunov Functions and of Energy Level for a Generalized Gradient Semigroup
(20120101)
The global attractor of a gradientlike semigroup has a Morse decomposition. Associated to this Morse decomposition there ... 
Article
Gradient InfiniteDimensional Random Dynamical Systems
(20120101)
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 nonLipschitz nonlinearity
(20120101)
In this paper we study the asymptotic behaviour of solutions of a firstorder stochastic lattice dynamical system with an ... 
PhD Thesis
Atractores para EDP parabólicas no lineales y no autónomas en dominios no acotados
(20110901)
Este trabajo está dividido en cinco capítulos. En los Capítulos 1 y 3, se trata la parte teórica de los sistemas dinámicos ... 
Article
A NonAutonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor
(20110101)
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
(20110101)
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
(20110101)
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
(20110101)
In this paper we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic ... 
Article
Stability of Gradient Semigroups Under Perturbations
(20110101)
In this paper we prove that gradientlike semigroups (in the sense of Carvalho and Langa (2009 J. Diff. Eqns 246 2646–68)) ... 
Article
On the asymptotic behaviour of a stochastic 3D LansAlpha model
(20110101)
The longtime 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
(20100101)
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
(20100101)
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
Threedimensional system of globally modified NavierStokes equations with delay
(20100101)
We prove the existence and uniqueness of strong solutions of a threedimensional system of globally modified Navier–Stokes ... 
Article
Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
(20100101)
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results ... 
Article
Global attractor for a nonautonomous integrodifferential equation in materials with memory
(20100101)
The longtime behavior of an integrodifferential parabolic equation of diffusion type with memory terms, expressed by ... 
Article
H2boundedness of the pullback attractor for a nonnutonomous reactiondiffusion equation
(20100101)
We prove some regularity results for the pullback attractor of a reactiondiffusion model. First we establish a general ... 
Article
Pullback attractors for reactiondiffusion equations in some unbounded domains with an H1 valued nonautonomous forcing term and without uniqueness of solutions
(20100101)
The existence of a pullback attractor for a reactiondiffusion equations in an unbounded domain containing a nonautonomous ... 
Article
Almost periodic and almost automorphic solutions of linear differential equations
(20100101)
We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear nonhomogeneous ... 
Article
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II
(20090101)
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
(20090101)
The wellknown Favard's theorem states that the linear differential equation x′=A(t)x+f(t) Turn MathJax on with Bohr ... 
Article
A gradientlike non autonomous evolution process
(20090101)
In this paper we consider a dissipative damped wave equation with nonautonomous damping of the form utt + ¯(t)ut = ¢u + ... 
Article
Asymptotic Behaviour of the ThreeDimensional ÁNavierStokes Model with Locally Lipschitz Delay Forcing Terms
(20090101)
We obtain some results on the existence and uniqueness, and exponential stability of solutions for the threedimensional ... 
Article
NonAutonomous Attractor for IntegroDifferential Evolution Equations
(20090101)
We show that infinitedimensional integrodifferential equations which involve an integral of the solution over the time ... 
Article
Attractors for Differential Equations with Multiple Variable Delays
(20090101)
We establish some results on the existence of pullback attractors for nonautonomous delay di fferential equations with ... 
Article
Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
(20080101)
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 NavierStokes Equations
(20080101)
We obtain regularity results for solutions of the three dimensional system of globally modified NavierStokes equations, ... 
Article
Synchronization of Systems with Multiplicative Noise
(20080101)
The synchronization of Stratonovich stochastic di erential equations (SDE) with a onesided dissipative Lipschitz drift ... 
Article
Pullback Attractors for Stochastic Heat Equations in Materials with Memory
(20080101)
We study the asymptotic behaviour of a nonautonomous stochastic reactiondiffusion equation with memory. In fact, we prove ... 
Article
Stabilisation of differential inclusions and PDEs without uniqueness by noise
(20080101)
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without ... 
Article
Nonautonomous and random attractors for delay random semilinear equations without uniqueness
(20080101)
We first prove the existence and uniqueness of pullback and random attractors for abstract multivalued nonautonomous and ... 
Presentation
Sobre la existencia de atractores para ecuaciones aleatorias de reaccióndifusión con retardos
(20070901)
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 differentialintegral equations with infinite delay
(20070101)
The upper semicontinuous convergence of approximate attractors for an infinite delay differential equation of logistic ... 
Article
Attractors for differential equations with unbounded delays
(Elsevier, 20070101)
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 SecondOrder Monotone Differential Equations
(20070101)
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
(20070101)
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
(20070101)
The existence and uniqueness of solutions for a stochastic reactiondiffusion equation with infinite delay is proved. ... 
Article
Synchronization of a Stochastic ReactionDiffusion System On a Thin TwoLayer Domain
(20070101)
A system of semilinear parabolic stochastic partial differential equations with additive spacetime noise is considered ... 
Article
The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations
(20070101)
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
(20070101)
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, 20061201)
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 longtime behaviour of linear Ito and Stratonovich partial differential equations
(20060101)
In this paper, we point out the different longtime behaviour of stochastic partial differential equations when one considers ... 
Article
On the existence and uniqueness of solutions to stochastic threedimensional Lagrangian averaged NavierStokes equations
(20060101)
We prove existence and uniqueness of solutions for a stochastic version of the 3DLagrangian averaged NavierStokes (LANS®) ... 
Article
Pullback and forward attractors for a 3D Lansalpha model with delay
(20060101)
We analyse the asymptotic behaviour of a 3D Lagrangian averaged NavierStokes model (3D LANS) with delays. In fact, we ... 
Article
Discretization of Asymptotically Stable Stationary Solutions of Delay Differential Equations with a Random Stationary Delay
(20060101)
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 SetValued Skew Product Flows
(20060101)
We investigate the asymptotic behaviour of a general setvalued skew product flow (SVSPF), that is, a setvalued cocycle ... 
Article
Pullback attractors for nonautonomous 2DNavierStokes equations in some unbounded domains
(20060101)
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
(20060101)
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
(20060101)
We investigate the existence, uniqueness and exponential stability of nonconstant stationary solutions of stochastic ... 
Article
The pathwise numerical approximation of stationary solutions of semilinear stochastic evolution equations
(20060101)
Under a onesided dissipative Lipschitz condition on its drift, a stochastic evolution equation with additive noise of the ... 
Article
Pullback attractors for asymptotically compact nonautonomous dynamical systems
(20060101)
First, we introduce the concept of pullback asymptotically compact nonautonomous dynamical system as an extension of the ... 
Article
The effect of noise on the chafeeinfante equation: a nonlinear case study
(20060101)
We investigate the effect of perturbing the ChafeeInfante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. ... 
Article
Autonomous and nonautonomous attractors for differential equations with delays
(20050101)
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
(20050101)
"Como es bien conocido, las ecuaciones de NavierStokes gobiernan el movimiento de fluidos comunes como el agua, el aire, ... 
Article
Asymptotic Behaviour of Monotone MultiValued Dynamical Systems
(20050101)
We introduce the concept of a monotone multivalued semi ow as an orderpreserving map. This de nition is motivated by ... 
Article
Addendum To "Global Attractors for Multivalued Randomnamical Systems'' [Nonlinear Analysis 48(2002) 805829]
(20050101)
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
(20050101)
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
(20050101)
An abstract system of coupled nonlinear parabolichyperbolic partial differential equations subjected to additive white ... 
Article
On the stochastic 3DLagrangian averaged NavierStokes AlphaModel with finite delay
(20050101)
Existence and uniqueness of solutions for a stochastic version of the 3DLagrangian averaged NavierStokes (LANS®) equation in a bounded domain and containing some hereditary characteristics are proved. 
Article
Attractors for 2DNavierStokes models with delays
(20040101)
The existence of an attractor for a 2DNavierStokes system with delay is proved. The theory of pullback attractors is ... 
Article
Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation
(20040101)
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous nonlinearities when ... 
Article
Stabilisation of linear PDEs by Stratonovich noise
(20040101)
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
(20040101)
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
(20030523)
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
(20030101)
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
(20030101)
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
(20030101)
Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. ... 
Article
A Comparison Between Two Theories for MultiValued Semiflows and Their Asymptotic Behaviour
(20030101)
This paper presents a comparison between two abstract frameworks in which one can treat multivalued semiflows and their ... 
Article
Asymptotic Behaviour of 2DNavierStokes Equations with Delays
(20030101)
Some results on the asymptotic behaviour of solutions to NavierStokes equations when the external force contains some ... 
Article
Weak pullback attractors of setvalued processes
(20030101)
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
(20030101)
Some sufficient conditions concerning stability of solutions of stochastic differential evolution equations with general ... 
Article
The dimension of attractors of nonautonomous partial differential equations
(20030101)
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
(20030101)
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
(20020101)
Some results on the existence and uniqueness of solutions for stochastic evolution equations containing some hereditary ... 
Article
Global Attractors for Multivalued Random Dynamical Systems
(20020101)
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 2DNavierStokes Equations
(20020101)
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2DNavierStokes equation are ... 
Article
Attractors for differential equations with variable delays
(20010101)
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 nonautonomous differential systems
(20010101)
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, 20010101)
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
(20010101)
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 nonautonomous reactiondiffusion equation
(20010101)
Some exponential growth results for the pullback attractor of a reactiondiffusion when time goes to ¡1 are proved in this ... 
Article
A Stochastic Pitchfork Bifurcation in a ReactionDiffusion Equation
(20010101)
We study in some detail the structure of the random attractor for the Chafee{Infante reaction{di¬usion equation perturbed ... 
Article
NavierStokes Equations with Delays
(20010101)
Some results on the existence and uniqueness of solutions to NavierStokes equations when the external force contains some hereditary characteristics are proved. 
Article
Nonlinear Partial Functional Differential Equations: Existence and Stability
(20010101)
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
(20010101)
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
(20010101)
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
(20010101)
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
(20000101)
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 reactiondiffusion equation with multiplicative noise
(20000101)
We study the asymptotic behaviour of a reactiondiffusion equation, and prove that the addition of multiplicative white ... 
Article
Tracking Properties of Trajectories On Random Attracting Sets
(19990101)
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
(19990101)
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
(19990101)
Some criteria for the mean square and almost sure exponential stability of nonlinear stochastic partial differential ... 
PhD Thesis
Atractores y comportamiento finitodimensional en sistemas dinámicos aleatorios
(19980101)
"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
(19980101)
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 PartialDifferential Equations
(19940101)
Sufficient conditions to get exponential stability for the sample paths (with probability one) of a nonlinear monotone ... 
Article
Partial Differential Equations with Delayed Random Perturbations: Existence, Uniqueness and Stability of Solutions
(19930101)
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 NonLinear Stochastic Partial Differential Equations
(19910101)
We state some results on existence and uniqueness for the solution of non linear stochastic PDEs with deviating arguments. ... 
Article
NonLinear Stochastic Partial Differential Equations with Delays: Existence and Uniqueness of Solutions
(19910101)
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
(19900101)
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, 19890101)

PhD Thesis
Algunos resultados de estabilidad de ecuaciones en derivadas parciales estocásticas con retardos
(19880101)
"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
(19880101)
Sufficient conditions for pathwise exponential stability of the zero solution of stochastic PDE with deviating argument ... 