Global and pullback attractors of set-valued skew product flows

被引：0
|
作者：
T. Caraballo
P.E. Kloeden
P. Marín-Rubio
机构：
[1] Universidad de Sevilla,Dpto. de Ecuaciones Diferenciales y Análisis Numérico
[2] Johann Wolfgang Goethe Universität,FB Mathematik
来源：
Annali di Matematica Pura ed Applicata | 2006年 / 185卷
关键词：
set-valued skew product flow; pullback attraction; weak invariance;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a non-autonomous differential equation or inclusion) driven by another, autonomous, system. Absorptivity conditions which ensure the existence of several types of attractors for such set-valued systems are established. The topological properties of and relations between these attractors, in forward and pullback senses and their strong and weak versions are analyzed. Several illustrative examples are also provided.
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页码：S23 / S45
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