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Existence results in the \(\alpha \)-norm for a class of neutral partial functional Integro-differential equations

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Abstract

The goal of this paper is to study, in the \(\alpha \)-norm the existence of solutions for a class of neutral partial functional integrodifferential equations with finite delay. We assume that the linear part generates an analytic and compact semigroup and the nonlinear part is continuous and involves spatial partial derivatives in the second argument. At the end an example is provided to illustrate the application of the obtained results.

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Authors and Affiliations

  1. Laboratoire L.A.N.I, Université Gaston Berger de Saint-Louis UFR SAT, BP 234, Saint-Louis, Senegal

    Boubacar Diao & Mamadou Sy

  2. Département de Mathématiques, Faculté des Sciences Semlalia, Université Cadi Ayyad, BP 2390, Marrakesh, Morocco

    Khalil Ezzinbi

Authors
  1. Boubacar Diao
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  2. Khalil Ezzinbi
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  3. Mamadou Sy
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Correspondence to Mamadou Sy.

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Diao, B., Ezzinbi, K. & Sy, M. Existence results in the \(\alpha \)-norm for a class of neutral partial functional Integro-differential equations. Afr. Mat. 26, 1621–1635 (2015). https://doi.org/10.1007/s13370-014-0313-4

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  • DOI: https://doi.org/10.1007/s13370-014-0313-4

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