Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces

S. Marshal Anthoni, J.-H. Kim and J. P. Dauer

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-17

Abstract:

We study the existence of mild solutions of the nonlinear second-order neutral functional differential and integrodifferential inclusions with nonlocal conditions in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of bounded linear operators and a fixed point theorem for condensing maps due to Martelli.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:490982

DOI: 10.1155/S0161171204310410

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