Global attractors for impulsive dynamical systems - a precompact approach

被引：36

作者：

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

Bortolan, M. C. ^{[1
]}

Carvalho, A. N. ^{[1
]}

Czaja, R. ^{[2
,3
]}

机构：

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

[2] Univ Lisbon, Inst Super Tecn, Dept Math, Ctr Math Anal Geometry & Dynam Syst, P-1049001 Lisbon, Portugal

[3] Univ Silesia, Inst Math, PL-40007 Katowice, Poland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 07期

基金：

巴西圣保罗研究基金会;

关键词：

Impulsive dynamical system; Global attractor; SEMIDYNAMICAL SYSTEMS; PERIODIC-SOLUTIONS;

D O I：

10.1016/j.jde.2015.03.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we give the definition of a global attractor of an impulsive dynamical system and obtain several important properties for this class of attractors. We prove the theorem on existence of such attractors and apply it to chosen ordinary and partial differential equations with impulsive functions. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：2602 / 2625

页数：24

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