Buscar
Mostrando ítems 1-10 de 13
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
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
(Elsevier, 2022-08)
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated by differential equations with delay ...
Artículo
Artículo
On the limit of solutions for a reaction-diffusion equation containing fractional Laplacians
(Springer, 2023-11-21)
A kind of nonlocal reaction-diffusion equations on an unbounded domain containing a fractional Laplacian operator is analyzed. To be precise, we prove the convergence of solutions of the equation governed by the fractional ...
Artículo
Determining asymptotic behavior from the dynamics on attracting sets
(Springer, 1999-04)
Two tracking properties for trajectories on attracting sets are studied. We prove that trajectories on the full phase space can be followed arbitrarily closely by skipping from one solution on the global attractor to ...
Artículo
About the Structure of Attractors for a Nonlocal Chafee-Infante Problem
(MDPI, 2021)
In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee the uniqueness of the Cauchy problem. First, we ...
Artículo
Trajectory and global attractors for generalized processes
(American Institute of Mathematical Sciences, 2019-08)
In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem and, through this approach, some conditions for the existence of trajectory attractors 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 cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour ...
Artículo
Finite-dimensional global attractors in Banach spaces
(Elsevier, 2010-12-15)
We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball under a linear map by a collection of balls ...
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 cases. In the former, we will show two different approaches which have been proposed to analyze ...