Published April 27, 2017 | Version v1
Publication

Attractors for a random evolution equation with infinite memory: Theoretical results

Description

The long-time behavior of solutions (more precisely, the existence of random pullback attractors) for an integro-differential parabolic equation of diffusion type with memory terms, more particularly with terms containing both finite and infinite delays, as well as some kind of randomness, is analyzed in this paper. We imposed general assumptions not ensuring uniqueness of solutions, which implies that the theory of multivalued dynamical system has to be used. Furthermore, the emphasis is put on the existence of random pullback attractors by exploiting the techniques of the theory of multivalued nonautonomous/random dynamical systems.

Abstract

Fondo Europeo de Desarrollo Regional

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Ministerio de Economía y Competitividad

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Junta de Andalucía

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Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia

Additional details

Created:
March 27, 2023
Modified:
December 1, 2023