2017-04-272017-04-272017-07Caraballo Garrido, T., Garrido Atienza, M.J., Schmalfuss, B. y Valero Cuadra, J. (2017). Attractors for a random evolution equation with infinite memory: Theoretical results. Discrete and Continuous Dynamical Systems - Series B, 22 (5), 1779-1800.1531-34921553-524Xhttp://hdl.handle.net/11441/58748The 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Pullback and random attractorRandom dynamical systemRandom delay equationInfinite delayinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.3934/dcdsb.2017106