Autonomous and non-autonomous attractors for differential equations with delays

The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is analyzed. In fact, the existence of global attractors is established for different situations: with and without uniqueness, and for both autonomous and non-autonomous cases, using...

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Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Marín Rubio, Pedro, Valero Cuadra, José
Tipo de documento: artigo
Data de publicação:2005
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23655
Acesso em linha:http://hdl.handle.net/11441/23655
https://doi.org/10.1016/j.jde.2003.09.008
Access Level:Acceso aberto
Palavra-chave:Autonomous and non-autonomous (pullback) attractors
Delay differential equations
Integro-differential equations
Non-uniqueness of solutions
Multi-valued semiflows
Multi-valued processes
Descrição
Resumo:The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is analyzed. In fact, the existence of global attractors is established for different situations: with and without uniqueness, and for both autonomous and non-autonomous cases, using the classical notion of attractor and the recently new concept of pullback one respectively.