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The Kneser Property for the Second Order Functional Abstract Cauchy Problem

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Abstract.

In this work we establish existence of mild solutions for a class of abstract semi-linear functional differential equations of second order and we prove that the set consisting of the mild solutions for these problems is connected.

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Authors and Affiliations

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

    H. R. Henríquez

  2. Departamento de Matemática, Universidad de Talca, Talca, Chile

    Genaro Castillo

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  1. H. R. Henríquez
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  2. Genaro Castillo
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Correspondence to H. R. Henríquez.

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Henríquez, H.R., Castillo, G. The Kneser Property for the Second Order Functional Abstract Cauchy Problem. Integr. equ. oper. theory 52, 505–525 (2005). https://doi.org/10.1007/s00020-002-1266-9

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  • DOI: https://doi.org/10.1007/s00020-002-1266-9

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