Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions

In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations with infinite delays when the uniqueness of solutions for these equations is not required. Our results are obtained by means of the theory of set-valued random dynamical systems...

Descripción completa

Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Garrido Atienza, María José, Schmalfuss, Björn, Valero Cuadra, José
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23643
Acceso en línea:http://hdl.handle.net/11441/23643
https://doi.org/10.3934/dcdsb.2010.14.439
Access Level:acceso abierto
Palabra clave:Multivalued non-autonomous and random dynamical systems
pullback and random attractors
functional stochastic equations
conjugacy method
Descripción
Sumario:In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations with infinite delays when the uniqueness of solutions for these equations is not required. Our results are obtained by means of the theory of set-valued random dynamical systems and their conjugation properties.