Non-autonomous and random attractors for delay random semilinear equations without uniqueness
We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and random dynamical systems. The standard assumption of compactness of these systems can be replaced by the assumption of asymptotic compactness. Then, we apply the abstract theory...
| Autores: | , , , |
|---|---|
| Tipo de documento: | artigo |
| Data de publicação: | 2008 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23681 |
| Acesso em linha: | http://hdl.handle.net/11441/23681 https://doi.org/10.3934/dcds.2008.21.415 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Cocycle Multi-valued non-autonomous and random dynamical systems Pullback and random attractors Delay differential equations |
| Resumo: | We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and random dynamical systems. The standard assumption of compactness of these systems can be replaced by the assumption of asymptotic compactness. Then, we apply the abstract theory to handle a random reaction-diffusion equation with memory or delay terms which can be considered on the complete past defined by R−.In particular, we do not assume the uniqueness of solutions of these equations. |
|---|