Attractors for differential equations with unbounded delays

We prove the existence of attractors for some types of differential problems containing infinite delays. Applications and examples are provided to illustrate the theory, which is valid for both cases with and without explicit dependence of time, and with or without uniqueness of solutions, as well.

Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Marín Rubio, Pedro, Valero Cuadra, José
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25924
Acceso en línea:http://hdl.handle.net/11441/25924
https://doi.org/10.1016/j.jde.2007.05.015
Access Level:acceso abierto
Palabra clave:Autonomous and non-autonomous (pullback) attractors
Delay differential equations
Infinite delays
Descripción
Sumario:We prove the existence of attractors for some types of differential problems containing infinite delays. Applications and examples are provided to illustrate the theory, which is valid for both cases with and without explicit dependence of time, and with or without uniqueness of solutions, as well.