Attractors for non-autonomous retarded lattice dynamical systems

Author:

Caraballo Tomás1,Morillas Francisco2,Valero José3

Affiliation:

1. 1Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080- Sevilla, Spain

2. 2Department d’Economia Aplicada, Facultat d’Economia, Universitat de Valéncia, Campus del Tarongers s/n, 46022-Valéncia, Spain

3. 3Centro de Investigación Operativa, Universidad Miguel Hernández, Avda. de la Universidad, s/n, 03202-Elche, Spain

Abstract

AbstractIn this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Reference22 articles.

1. Random attractors for first order stochastic retarded lattice dynamical systems pages;Yan;Math Phys,2010

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4. Attractors for a lattice dynamical system generated by non - newtonian fluids modeling suspensions Internat;Amigó;Chaos,2010

5. On the existence of solutions of differential equations of retarde type in a Banach space Annales XXXV;Lakshmikantham;Polonici Mathematici,1978

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