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

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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.

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Authors and Affiliations

  1. UFR SAT Département de Mathématiques, Université Gaston Berger de Saint-Louis, B.P 234, Saint-Louis, Senegal

    Mamadou Abdoul Diop & Mahamat Mahamat Zene

  2. Département de Mathématiques, Université Cadi Ayyad Faculté des Sciences Semlalia, B.P. 2390, Marrakech, Morocco

    Khalil Ezzinbi

Authors
  1. Mamadou Abdoul Diop
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  2. Khalil Ezzinbi
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  3. Mahamat Mahamat Zene
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Correspondence to Mamadou Abdoul Diop.

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Diop, M.A., Ezzinbi, K. & Zene, M.M. Existence and stability results for a partial impulsive stochastic integro-differential equation with infinite delay. SeMA 73, 17–30 (2016). https://doi.org/10.1007/s40324-015-0053-x

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  • DOI: https://doi.org/10.1007/s40324-015-0053-x

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