Acta Applicandae Mathematicae

, Volume 142, Issue 1, pp 91–105 | Cite as

Practical Stability of Stochastic Delay Evolution Equations

  • Tomás Caraballo
  • Mohamed Ali Hammami
  • Lassad Mchiri


In this paper we investigate the almost sure practical stability for a class of stochastic functional evolution equations. We establish some sufficient conditions based on the construction of appropriate Lyapunov functional. The abstract results are then applied to some illustrative examples.


Stochastic delay evolution equations Almost sure practical asymptotic stability Decay function 

Mathematics Subject Classification




The research of T. Caraballo has been partially supported by FEDER and Ministerio de Economía y Competitividad grant # MTM2011-22411 and Junta de Andalucía under Proyecto de Excelencia P12-FQM-1492 and # FQM314 (Spain).


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • Tomás Caraballo
    • 1
  • Mohamed Ali Hammami
    • 2
  • Lassad Mchiri
    • 2
  1. 1.Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de MatemáticasUniversidad de SevillaSevillaSpain
  2. 2.Department of Mathematics, Faculty of Sciences of SfaxUniversity of SfaxSfaxTunisia

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