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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.)

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

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Author(s):
Bonotto, E. M. [1] ; Bortolan, M. C. [2] ; Caraballo, T. [3] ; Collegari, R. [4]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 4
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; v. 33, n. 1 DEC 2019.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 16/24711-1 - Pullback attractors for cocycles
Grantee:Everaldo de Mello Bonotto
Support Opportunities: Regular Research Grants
FAPESP's process: 14/20691-0 - Pullback attractos in impulsive evolution process
Grantee:Rodolfo Collegari
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor