Attractors for impulsive non-autonomous dynamical systems and their relations

Autor(es)

Bonotto, E. M. ^[1] ; Bortolan, M. C. ; Caraballo, T. ; Collegari, R. ^[4]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 262, n. 6, p. 3524-3550, MAR 15 2017.
• Citações Web of Science: 7

Resumo

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)

• Processo FAPESP: 14/20691-0 - Atratores pullback em processos de evolução com impulso
• Beneficiário: Rodolfo Collegari
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
• Processo FAPESP: 14/25970-5 - Processos de evolução com impulsos e a teoria de atratores
• Beneficiário: Everaldo de Mello Bonotto
• Modalidade de apoio: Bolsas no Exterior - Pesquisa