Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation of diffusion type with a memory term, expressed by convolution integrals involving infinite delays, in an unbounded domain. The assumptions imposed do not ensure uniqueness of...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/24721 |
| Acceso en línea: | http://hdl.handle.net/11441/24721 https://doi.org/10.1142/S0218127413500429 |
| Access Level: | acceso abierto |
| Palabra clave: | Delayed reaction-diffusion equations Integro-differential equations with memory Pullback attractors Multivalued non-autonomous dynamical systems Asymptotic behavior |
| Sumario: | The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation of diffusion type with a memory term, expressed by convolution integrals involving infinite delays, in an unbounded domain. The assumptions imposed do not ensure uniqueness of solutions of the corresponding initial value problems. The theory of set-valued non-autonomous dynamical systems is applied to prove the existence of pullback attractors for our model. To do this, we first analyse an abstract version of the equation. |
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