On Attractors of Generalized Semiflows with Impulses

被引：16

作者：

Bonotto, Everaldo de Mello ^{[1
]}

Kalita, Piotr ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos,Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil

[2] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2020年 / 30卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Dynamical systems; Global attractors; invariance; state-dependent impulses; Generalized semiflows; Multivalued semiflows; Nonuniqueness of solutions; GLOBAL ATTRACTORS; MULTIVALUED SEMIFLOWS; DYNAMICAL-SYSTEMS; SEMICONTINUITY; EXISTENCE; MODEL;

D O I：

10.1007/s12220-019-00143-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of global attractors for problems with state-dependent impulses and possible nonuniqueness of solutions. We provide the criteria under which there exists the global attractor, being on one hand an invariant set, and on the other hand given by the difference of the minimal compact attracting set and the impulsive set M. The new condition (T) used to get the global attractor invariance is discussed and compared with other conditions used in literature for impulsive problems. The theory is illustrated by several examples.

引用

页码：1412 / 1449

页数：38

共 32 条

[1]

Babin A.V., 1985, Mat. Sb. (N.S.), V126, P397

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