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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Uniform attractors of discontinuous semidynamical systems

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Author(s):
Bonotto, E. M. [1] ; Ferreira, J. C. [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: COLLECTANEA MATHEMATICA; v. 65, n. 1, p. 47-59, JAN 2014.
Web of Science Citations: 3
Abstract

In the present paper, we define the concept of uniform attractor for semidynamical systems subject to variable impulses. We characterize the region of uniform attraction for compact sets and we show an asymptotic stability result for impulsive systems. Also, we present a result of uniform attractor by using Lyapunov functionals. We finish the paper by presenting an application for an impulsive nonlinear autonomous system. (AU)

FAPESP's process: 10/04815-0 - Stability theory in impulsive semidynamical systems
Grantee:Jaqueline da Costa Ferreira
Support Opportunities: Scholarships in Brazil - Master
FAPESP's process: 10/08994-7 - Non-autonomous semidynamical systems with impulses
Grantee:Everaldo de Mello Bonotto
Support Opportunities: Regular Research Grants