Attractors of impulsive dissipative semidynamical systems

Texto completo
Autor(es):	Bonotto, E. M. ^[1] ; Demuner, D. P. ^[2] Número total de Autores: 2
Afiliação do(s) autor(es):	^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil ^[2] Univ Fed Espirito Santo, Vitoria Es - Brazil Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	BULLETIN DES SCIENCES MATHEMATIQUES; v. 137, n. 5, p. 617-642, JUL-AUG 2013.
Citações Web of Science:	14
Resumo
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. (AU)

Processo FAPESP:	10/08994-7 - Sistemas semidinâmicos não-autônomos com impulsos
Beneficiário:	Everaldo de Mello Bonotto
Modalidade de apoio:	Auxílio à Pesquisa - Regular