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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.)

Attractors for impulsive non-autonomous dynamical systems and their relations

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Author(s):
Bonotto, E. M. [1] ; Bortolan, M. C. ; Caraballo, T. ; Collegari, R. [4]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, Sao Carlos, SP, Brazil. Bortolan, M. C., Univ Fed Santa Catarina, Dept Matemat, Campus Trindade, BR-88040900 Florianopolis, SC, Brazil. Caraballo, T., Univ Seville, Dept Ec - Spain
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, Sao Carlos, SP, Brazil. Bortolan, M. C., Univ Fed Santa Catarina, Dept Matemat, Campus Trindade, BR-88040900 Florianopolis, SC, Brazil. Caraballo, T., Univ Seville, Dept Ecuac Diferenciales & Anal Numer EDAN, Seville - Spain
Total Affiliations: 2
Document type: Journal article
Source: Journal of Differential Equations; v. 262, n. 6, p. 3524-3550, MAR 15 2017.
Web of Science Citations: 7
Abstract

In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous framework and we explore their relationships to obtain properties regarding the different scenarios of asymptotic dynamics, such as the cocycle attractor, the uniform attractor and the global attractor for the impulsive skew-product semiflow. Lastly, we illustrate our theory by exhibiting an example of a non-classical non-autonomous parabolic equation with subcritical nonlinearity and impulses. (C) 2016 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 14/20691-0 - Pullback attractos in impulsive evolution process
Grantee:Rodolfo Collegari
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 14/25970-5 - Evolution processes with impulses and the attractor theory
Grantee:Everaldo de Mello Bonotto
Support Opportunities: Scholarships abroad - Research