Showing papers by "Mouffak Benchohra published in 2000"
TL;DR: In this article, the controllability of second-order differential inclusions in Banach spaces with nonlocal conditions is established, based on a fixed-point theorem for condensing maps due to Martelli.
Abstract: In this paper, we establish sufficient conditions for the controllability ofsecond-order differential inclusions in Banach spaces with nonlocalconditions. We rely on a fixed-point theorem for condensing maps due toMartelli.
27 citations
01 Jan 2000
TL;DR: In this article, a nonlinear alternative for multivalued maps is used to investigate the existence of solutions of first order impulsive initial value problem for differential inclusions in Banach spaces.
Abstract: In this paper, a nonlinear alternative for multivalued maps is used to investigate the existence of solutions of first order impulsive initial value problem for differential inclusions in Banach spaces.
19 citations
TL;DR: In this article, the existence of mild solutions to first order semilinear differential equations in Banach spaces with nonlocal conditions was investigated, based on a fixed point theorem for compact maps due to Schaefer.
18 citations
TL;DR: In this article, the existence of mild solutions on an unbounded real interval to second-order initial value problems for a class of differential inclusions with nonlocal conditions was investigated.
Abstract: In this paper, we investigate the existence of mild solutions on an unbounded real interval to second-order initial value problems for a class of differential inclusions with nonlocal conditions. We shall rely on a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's Theorem.
14 citations
01 Jan 2000
Abstract: In this paper we investigate the existence of mild solutions defined on a semiinfinite interval for initial value problems for a differential equation with a nonlocal condition. The results is based on the Schauder-Tychonoff fixed point theorem and rely on a priori bounds on solutions.
10 citations
TL;DR: In this article, the existence of mild solutions on an infinite interval for second order functional differential inclusions in Banach spaces was investigated, using a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.
8 citations
TL;DR: In this paper, the existence of mild solutions on a compact interval for second order functional differential inclusions in Banach spaces was investigated, based on a fixed point theorem for condensing maps due to Martelli.
Abstract: In this paper we investigate the existence of mild solutions on a compact interval for second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem for condensing maps due to Martelli.
1 citations