Attractors for impulsive non-autonomous dynamical systems and their relations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:262

Article

Bonotto, E. M.¹  Bortolan, M. C.²  Caraballo, T.³  Collegari, R.¹ 

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos,Caixa Postal 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

关键词: Impulsive non-autonomous dynamical systems;    Skew-product semiflow;    Global attractor;    c-Global attractor;    Uniform attractor;    Cocycle attractor;   

DOI  :  10.1016/j.jde.2016.11.036

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free