Electron. J. Diff. Eqns., Vol. 2000(2000), No. 20, pp. 1-15.

Existence results for neutral functional differential and integrodifferential inclusions in Banach spaces

M. Benchohra & S. K. Ntouyas

Abstract:
In this paper we investigate the existence of solutions on a compact interval for the first and second order initial-value problems for neutral functional differential and integrodifferential inclusions in Banach spaces. We shall use of a fixed point theorem for condensing maps introduced by Martelli.

Submitted October 28, 1999. Published March 12, 2000.
Math Subject Classifications: 34A60, 34G20, 34K40.
Key Words: Initial value problems, Convex multivalued map, Neutral functional differential and integrodifferential inclusion.

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Mouffak Benchohra
Departement de Mathematiques
Universite de Sidi Bel Abbes
BP 89, 22000 Sidi Bel Abbes, Algerie
e-mail: benchohra@yahoo.com
Sotiris K. Ntouyas
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
e-mail: sntouyas@cc.uoi.gr

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