Attractors of impulsive dissipative semidynamical systems

被引：18

作者：

Bonotto, E. M. ^{[1
]}

Demuner, D. P. ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

[2] Univ Fed Espirito Santo, Vitoria Es, Brazil

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2013年 / 137卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Semidynamical systems; Dissipative systems; Attractors; Impulses; EXISTENCE; STABILITY;

D O I：

10.1016/j.bulsci.2012.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of dissipative semidynamical systems with impulses. First, we study the connectedness of Levinson's center of a compact dissipative system with impulses. Second, we define some types of attractors for dissipative systems and we study results which relate attractors and dissipative systems (point, bounded and compact). Finally, we apply our results for a general impulsive autonomous system and for a nonlinear reaction-diffusion equation of type u' - Delta u + g (u) = f with impulse condition. (C) 2012 Elsevier Masson SAS. All rights reserved.

引用

页码：617 / 642

页数：26

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