SeMA Journal

, Volume 73, Issue 1, pp 17–30 | Cite as

Existence and stability results for a partial impulsive stochastic integro-differential equation with infinite delay

  • Mamadou Abdoul Diop
  • Khalil Ezzinbi
  • Mahamat Mahamat Zene
Article
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Abstract

This article presents the result on existence and stability of mild solutions of stochastic partial differential equations with infinite delay in the phase space \(\mathcal {B}\) with non-lipschitz coefficients.  We use the theory of resolvent operator devolopped in Grimmer (Trans Am Math Soc 273(1):333–349, 1982) to show the existence of mild solutions. An example is provided to illustrate the results of this work.

Keywords

Resolvent operators \(C_0\)-semigroup Neutral stochastic partial integrodifferential equations Wiener process Picard iteration Mild solutions Stability in mean square 
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Copyright information

© Sociedad Española de Matemática Aplicada 2015

Authors and Affiliations

  • Mamadou Abdoul Diop
    • 1
  • Khalil Ezzinbi
    • 2
  • Mahamat Mahamat Zene
    • 1
  1. 1.UFR SAT Département de MathématiquesUniversité Gaston Berger de Saint-LouisSaint-LouisSenegal
  2. 2.Département de MathématiquesUniversité Cadi Ayyad Faculté des Sciences SemlaliaMarrakechMorocco

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