Pullback exponential attractors for differential equations with delay
We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. We considered the case of strong dissipativity then prove that the result remains for the weak dissipativity. We conclude then the existence of the global attractor and ensure the boundedness o...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/106349 |
| Acceso en línea: | https://hdl.handle.net/11441/106349 https://doi.org/10.3934/dcdss.2020367 |
| Access Level: | acceso abierto |
| Palabra clave: | non-autonomous delay differential equations variable delays distributed delay integro-differential equation pullback exponential attractors fractal dimension non-autonomous dynamical systems |
| Sumario: | We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. We considered the case of strong dissipativity then prove that the result remains for the weak dissipativity. We conclude then the existence of the global attractor and ensure the boundedness of its fractal dimension. |
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