Global and Pullback Attractors of Set-Valued Skew Product Flows
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a nonautonomous differential equation or inclusion) driven by another, autonomous,system. Absorptivity conditions which ensure the existence of several types...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23669 |
| Acceso en línea: | http://hdl.handle.net/11441/23669 https://doi.org/10.1007/s10231-004-0135-3 |
| Access Level: | acceso abierto |
| Palabra clave: | Set-valued skew product flow pullback attraction weak invariance |
| Sumario: | We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a nonautonomous differential equation or inclusion) driven by another, autonomous,system. Absorptivity conditions which ensure the existence of several types of attractors for such set-valued systems are established. The topological properties of and relations between these attractors, in forward and pullback senses and their strong and weak versions are analyzed. Several illustrative examples are also provided. |
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