Acta Applicandae Mathematicae

, Volume 142, Issue 1, pp 91–105

Practical Stability of Stochastic Delay Evolution Equations

  • Tomás Caraballo
  • Mohamed Ali Hammami
  • Lassad Mchiri
Article

DOI: 10.1007/s10440-015-0016-3

Cite this article as:
Caraballo, T., Hammami, M.A. & Mchiri, L. Acta Appl Math (2016) 142: 91. doi:10.1007/s10440-015-0016-3
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Abstract

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.

Keywords

Stochastic delay evolution equations Almost sure practical asymptotic stability Decay function 

Mathematics Subject Classification

60H15 

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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