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Impulsive neutral functional differential inclusions in Banach spaces

✍ Scribed by M. Benchohra; J. Henderson; S.K. Ntouyas

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
502 KB
Volume
15
Category
Article
ISSN
0893-9659

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✦ Synopsis

The aim of this paper is to study the existence of solutions to some classes of impulsive neutral functional differential inclusions in Banech spacea. We shall make use of a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler.

πŸ“œ SIMILAR VOLUMES

Existence Results for Impulsive Multival
Existence Results for Impulsive Multivalued Semilinear Neutral Functional Differential Inclusions in Banach Spaces
✍ M. Benchohra; J. Henderson; S.K. Ntouyas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 135 KB

In this paper, the existence of mild solutions for first-and second-order impulsive semilinear neutral functional differential inclusions in Banach spaces is investigated. The results are obtained by using a fixed point theorem for condensing multivalued maps due to Martelli and semigroup theory.

Nonlocal Cauchy Problems for Neutral Fun
Nonlocal Cauchy Problems for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
✍ M. Benchohra; S.K. Ntouyas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 121 KB

In this paper we investigate the existence of mild solutions on a compact interval to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. The results are obtained by using a fixed point theorem for condensing maps d