Attractors for Parametric Delay Differential Equations and Their Continuous Behavior
The problem of the continuity of global attractors under minimal assumptions for a general class of parameterized delay differential equations is considered. The theory of equi-attraction developed by Li and Kloeden in [2004a] is adapted to this framework, so it is proved that the continuity of the...
| Autor: | |
|---|---|
| Tipo de documento: | artigo |
| Estado: | Versión enviada para evaluación y publicación |
| Data de publicação: | 2010 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/25925 |
| Acesso em linha: | http://hdl.handle.net/11441/25925 https://doi.org/10.1142/S0218127410027283 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Delay differential equations Global attractors Continuity of attractors Equi-attraction |
| Resumo: | The problem of the continuity of global attractors under minimal assumptions for a general class of parameterized delay differential equations is considered. The theory of equi-attraction developed by Li and Kloeden in [2004a] is adapted to this framework, so it is proved that the continuity of the attractors with respect to the parameter is equivalent to this equi-attraction property. |
|---|