Pullback attractors for differential equations with multiple variable delays in Lipschitz nonlinearities

We establish the results on the existence of pullback attractors for nonautonomous functional differential equations with multiple delays appearing within nonlinear Lipschitz terms. The results are complementary to recently presented findings in [Caraballo & Kiss, 2013a, 2013b], and they extend...

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Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Kiss, Gábor, Taniguchi, Takeshi
Formato: artículo
Fecha de publicación:2013
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/24723
Acesso em linha:http://hdl.handle.net/11441/24723
https://doi.org/10.1142/S0218127413501873
Access Level:acceso abierto
Palavra-chave:Delay differential equation
nonautonomous dynamics
pullback attractors
Descrição
Resumo:We establish the results on the existence of pullback attractors for nonautonomous functional differential equations with multiple delays appearing within nonlinear Lipschitz terms. The results are complementary to recently presented findings in [Caraballo & Kiss, 2013a, 2013b], and they extend the class of nonlinearities to which existence results can be established by improving on a condition presented in [Caraballo & Kiss, 2013b].