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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, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption ...
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 convolution integrals involving infinite delays and by a forcing term with bounded delay, is investigated ...
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 cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour ...
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 in a Banach space by assuming that the nonlinear term is in some sense weakly continuous. We then ...
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 of Heaviside type. Using this principle, we study the structure of the global attractor in both the ...
Artículo
On a stochastic nonlocal system with discrete diffusion modeling life tables
(World scientific, 2021-10-20)
In this paper we study an stochastic system of differential equations with nonlocal discrete diffusion. For two type of noises we study the existence of either positive or probability solutions. Also, we analyse the ...
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 random dynamical systems. The standard assumption of compactness of these systems can be replaced ...
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 study a system of in nite ordinary di erential equations which can be obtained after the spatial ...
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 forcing term taking values in the space H−1, and with a continuous nonlinearity which does not ...
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 neighbor interaction, a dissipative nonlinear reaction term, and a different multiplicative white noise ...