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Practical Stability of Stochastic Delay Evolution Equations

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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.

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Acknowledgements

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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Authors and Affiliations

  1. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain

    Tomás Caraballo

  2. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

    Mohamed Ali Hammami & Lassad Mchiri

Authors
  1. Tomás Caraballo
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  2. Mohamed Ali Hammami
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  3. Lassad Mchiri
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Correspondence to Mohamed Ali Hammami.

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Caraballo, T., Hammami, M.A. & Mchiri, L. Practical Stability of Stochastic Delay Evolution Equations. Acta Appl Math 142, 91–105 (2016). https://doi.org/10.1007/s10440-015-0016-3

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  • DOI: https://doi.org/10.1007/s10440-015-0016-3

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