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

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 presen...

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Detalles Bibliográficos
Autores: Bonotto, Everaldo de Mello, Bortolan, Matheus Cheque, Caraballo Garrido, Tomás, Collegari, Rodolfo
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/106348
Acceso en línea:https://hdl.handle.net/11441/106348
https://doi.org/10.1007/s10884-019-09815-5
Access Level:acceso abierto
Palabra clave:Weak upper semicontinuity
Weak lower semicontinuity
Continuity
Nonautonomous impulsive dynamical system
Impulsive cocycle attractor
Collective tube conditions
Descripción
Sumario: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.