Article
Attractors for impulsive non-autonomous dynamical systems and their relations
Author/s | Bonotto, Everaldo de Mello
Bortolan, Matheus Cheque Caraballo Garrido, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() Collegari, Rodolfo |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Date | 2017-03-15 |
Published in |
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Abstract | In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous case and we explore their relationships to obtain properties regarding the different scenarios of asymptotic ... In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous case 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. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2011-22411
![]() P12-FQM-1492 ![]() 2014/20691-0 ![]() |
Citation | Bonotto, E.d.M., Bortolan, M.C., Caraballo Garrido, T. y Collegari, R. (2017). Attractors for impulsive non-autonomous dynamical systems and their relations. Journal of Differential Equations, 262 (6), 3524-3550. |
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