Equi-Attraction and The Continuous Dependence of Attractors on Time Delays
Under appropriate regularity conditions it is shown that the continuous dependence of the global attractors \mathcal{A}_\tau of semi dynamical systems S^{(\tau)}(t) in C([-\tau,0];Z) with Z a Banach space and time delay \tau \in [T_*,T^*], where T_* > 0, is equivalent to the equi-attraction of th...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/25928 |
| Acceso en línea: | http://hdl.handle.net/11441/25928 https://doi.org/10.3934/dcdsb.2008.9.581 |
| Access Level: | acceso abierto |
| Palabra clave: | Semiflows for delay differential equations parametric attractors extended semiflows and attractors continuity of attractors and equi-attraction |
| Sumario: | Under appropriate regularity conditions it is shown that the continuous dependence of the global attractors \mathcal{A}_\tau of semi dynamical systems S^{(\tau)}(t) in C([-\tau,0];Z) with Z a Banach space and time delay \tau \in [T_*,T^*], where T_* > 0, is equivalent to the equi-attraction of the attractors. Examples and counter examples posed in this right framework are provided. |
|---|