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Existence of solutions for abstract neutral integro-differential equations with unbounded delay

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Abstract

In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay. A concrete application to partial neutral integro-differential equations is considered.

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Authors and Affiliations

  1. Ribeirão Preto, Brazil

    Eduardo M. Hernández

  2. Galway, Ireland

    Donal O’Regan

  3. Departamento de Física e Matemática, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, 14040-901, Ribeirão Preto, SP, Brazil

    Eduardo M. Hernández

  4. Department of Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

Authors
  1. Eduardo M. Hernández
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  2. Donal O’Regan
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Correspondence to Eduardo M. Hernández.

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Hernández, E.M., O’Regan, D. Existence of solutions for abstract neutral integro-differential equations with unbounded delay. Czech Math J 61, 691–706 (2011). https://doi.org/10.1007/s10587-011-0040-z

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  • DOI: https://doi.org/10.1007/s10587-011-0040-z

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