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Existence of Solutions for Second Order Partial Neutral Functional Differential Equations

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Abstract.

We establish existence of mild solutions for a class of abstract second-order partial neutral functional differential equations with unbounded delay in a Banach space.

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Authors and Affiliations

  1. Departamento de Matemática, I.C.M.C. Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos, SP, Brazil

    Eduardo Hernández Morales

  2. Departamento de Matemática, Universidad de Santiago, USACH, Casilla 307, Correo-2, Santiago, Chile

    Hernán R. Henríquez

  3. Department of Mathematics and Computer Science, Goucher College, 1021 Dulaney Valley Road, Baltimore, MD, 21204, USA

    Mark A. McKibben

Authors
  1. Eduardo Hernández Morales
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  2. Hernán R. Henríquez
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  3. Mark A. McKibben
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Corresponding author

Correspondence to Eduardo Hernández Morales.

Additional information

The work of the second author was supported by FONDECYT-CONICYT, Grants 1050314 and 7050034.

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Morales, E.H., Henríquez, H.R. & McKibben, M.A. Existence of Solutions for Second Order Partial Neutral Functional Differential Equations. Integr. equ. oper. theory 62, 191–217 (2008). https://doi.org/10.1007/s00020-008-1618-1

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  • DOI: https://doi.org/10.1007/s00020-008-1618-1

Keywords.

Mathematics Subject Classification (2000).

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