Attractors for a Random Evolution Equation with Infinite Memory: An Application

  • María J. Garrido-Atienza
  • Björn Schmalfuß
  • José ValeroEmail author
Part of the Understanding Complex Systems book series (UCS)


In this paper we study the existence of random pullback attractors for an integro-differential parabolic equation of reaction-diffusion type with both finite and infinite delays and also some kind of randomness.



This work has been partially supported by Spanish Ministry of Economy and Competitiveness and FEDER, projects MTM2015-63723-P and MTM2016-74921-P, and by Junta de Andalucía (Spain), project P12-FQM-1492.

We would like to thank the referees for their valuable remarks and suggestions.


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Authors and Affiliations

  • María J. Garrido-Atienza
    • 1
  • Björn Schmalfuß
    • 2
  • José Valero
    • 3
    Email author
  1. 1.Dpto. Ecuaciones Diferenciales y Análisis Numérico, Facultad de MatemáticasUniversidad de SevillaSevillaSpain
  2. 2.Institut für MathematikInstitut für StochastikJenaGermany
  3. 3.Centro de Investigación OperativaUniversidad Miguel Hernández de ElcheElche (Alicante)Spain

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