Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems

被引：0
|
作者：
T. Caraballo
J. A. Langa
V. S. Melnik
J. Valero
机构：
[1] Universidad de Sevilla,Departamento de Ecuaciones Diferenciales y Análisis Numérico
[2] Institute of Applied System Analysis,undefined
[3] Universidad Cardenal Herrera CEU,undefined
[4] Comissari 3,undefined
来源：
Set-Valued Analysis | 2003年 / 11卷
关键词：
attractor; asymptotic behaviour; differential inclusion; reaction–diffusion equation; nonautonomous dynamical system;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence of ω-limit sets and global attractors, and study their topological properties (compactness, connectedness). Further, we apply the abstract results to nonautonomous differential inclusions of the reaction–diffusion type in which the forcing term can grow polynomially in time, and to stochastic differential inclusions as well.
引用
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页码：153 / 201
页数：48
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