Multivalued semilinear neutral functional differential equations with nonconvex‐valued right‐hand side

M. Benchohra, E. Gatsori and S. K. Ntouyas

Abstract and Applied Analysis, 2004, vol. 2004, issue 6, 525-541

Abstract: We investigate the existence of mild solutions on acompact interval to some classes of semilinear neutral functional differential inclusions. We will rely on a fixed‐point theorem for contraction multivalued maps due to Covitz and Nadler and on Schaefer′s fixed‐point theorem combined with lower semicontinuous multivalued operators with decomposable values.

Date: 2004
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https://doi.org/10.1155/S1085337504306202

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:6:p:525-541

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