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

被引：5

作者：

Bonotto, E. M. ^{[1
]}

Bortolan, M. C. ^{[2
]}

Caraballo, T. ^{[3
]}

Collegari, R. ^{[4
]}

机构：

[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

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2021年 / 33卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Weak upper semicontinuity; Weak lower semicontinuity; Continuity; Nonautonomous impulsive dynamical system; Impulsive cocycle attractor; Collective tube conditions; DYNAMICAL-SYSTEMS;

D O I：

10.1007/s10884-019-09815-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：463 / 487

页数：25

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