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

S. Marshal Anthoni; J. H. Kim; J. P. Dauer

doi:10.1155/S0161171204310410

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

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	1133-1149
Number of pages	17
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2004
Issue number	22
DOIs	https://doi.org/10.1155/S0161171204310410
Publication status	Published - 2004

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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title = "Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in banach spaces",

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.",

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AU - Kim, J. H.

AU - Dauer, J. P.

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N2 - 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.

AB - 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.

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JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 22

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

Abstract

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