Attractors of impulsive dissipative semidynamical systems

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Author(s):	Bonotto, E. M. ^[1] ; Demuner, D. P. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil ^[2] Univ Fed Espirito Santo, Vitoria Es - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	BULLETIN DES SCIENCES MATHEMATIQUES; v. 137, n. 5, p. 617-642, JUL-AUG 2013.
Web of Science Citations:	14
Abstract
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)

FAPESP's process:	10/08994-7 - Non-autonomous semidynamical systems with impulses
Grantee:	Everaldo de Mello Bonotto
Support Opportunities:	Regular Research Grants