Article
Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
Author/s | Anguiano Moreno, María
Caraballo Garrido, Tomás Real Anguas, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2013 |
Deposit Date | 2015-04-27 |
Published in |
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Abstract | 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 ... 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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