Mouffak Benchohra, Efrosini P. Gatsori & Sotiris K. Ntouyas
Abstract:
In this paper we investigate the existence of mild
solutions to second order initial value problems for
a class of damped differential inclusions with nonlocal
conditions. By using suitable fixed point theorems,
we study the case when the multivalued map has convex
and nonconvex values.
An addendum was attached on January 28, 2002. See last page of this article.
Submitted December 18, 2001. Published Janaury 15, 2002.
Math Subject Classifications: 34A60, 34G20, 35R10, 47D03.
Key Words: Initial value problems, multivalued map, damped equations,
mild solution, evolution inclusion, nonlocal condition, fixed point.
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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 |
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Efrosini P. Gatsori Department of Mathematics University of Ioannina 451 10 Ioannina, Greece e-mail: egatsori@yahoo.gr |
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Sotiris K. Ntouyas Department of Mathematics University of Ioannina 451 10 Ioannina, Greece e-mail: sntouyas@cc.uoi.gr |
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