Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems

Autor(es)

Bonotto, E. M. ^[1] ; Bortolan, M. C. ^[2] ; Caraballo, T. ^[3] ; Collegari, R. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, BR-668 Sao Carlos, SP - Brazil

^[2] Univ Fed Santa Catarina, Dept Matemat, Campus Trindade, BR-88040900 Florianopolis, SC - Brazil

^[3] Univ Seville, Dept Ecuac Diferenciales & Anal Numer EDAN, Seville - Spain

^[4] Univ Fed Uberlandia, Fac Matemat, BR-38408100 Uberlandia, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Dynamics and Differential Equations; v. 33, n. 1 DEC 2019.
• Citações Web of Science: 1

Resumo

In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of nonautonomous impulsive dynamical systems, as well as an example of nonautonomous dynamical system generated by an ODE in the real line to illustrate our results. Moreover, we present theoretical results regarding lower semicontinuity of impulsive cocycle attractors. (AU)

• Processo FAPESP: 16/24711-1 - Atratores pullback para cociclos
• Beneficiário: Everaldo de Mello Bonotto
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• 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