Showing papers by "Mouffak Benchohra published in 2001"
TL;DR: In this article, 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 was investigated.
89 citations
TL;DR: In this article, the existence of mild solutions for first and second-order impulsive semilinear neutral functional differential inclusions in Banach spaces is investigated by using a fixed point theorem for condensing multivalued maps due to Martelli and semigroup theory.
72 citations
TL;DR: In this paper, the Leray-Schauder nonlinear alternative is used to investigate the existence of solutions to first-order impulsive initial value problems for functional differential equations in Banach spaces.
Abstract: In this paper, the Leray-Schauder nonlinear alternative is used to investigate the existence of solutions to first-order impulsive initial value problems for functional differential equations in Banach spaces.
29 citations
04 Jun 2001
TL;DR: In this article, the existence of solutions to functional differential inclusions on compact intervals was investigated, using the xed point theorem introduced by Covitz and Nadler for contraction multi-valued maps.
Abstract: In this note we investigate the existence of solutions to functional differential inclusions on compact intervals. We use the xed point theorem introduced by Covitz and Nadler for contraction multi-valued maps.
26 citations
TL;DR: In this article, the controllability condition for first and second order functional differential inclusions in Banach spaces was established, based on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem.
Abstract: In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer’s theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
14 citations
TL;DR: In this article, the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects is investigated, based on a fixed point theorem for condensing maps to prove their results.
Abstract: We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.
5 citations
TL;DR: In this paper, the existence of solutions on a compact interval to a three-point boundary value problem for a class of second order differential inclusions was investigated, based on a fixed point theorem for condensing maps due to Martelli.
Abstract: In this paper we investigate the existence of solutions on a compact interval to a three-point boundary value problem for a class of second order differential inclusions. We shall rely on a fixed point theorem for condensing maps due to Martelli. Mathematical Subject Classification: 34A60, 34B10, 34B15
4 citations
4 citations
Journal Article•
TL;DR: In this paper, the existence of mild solutions on infinite intervals to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions was investigated.
Abstract: In this paper we investigate the existence of mild solutions on infinite intervals to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. We shall rely on a fixed point theorem due to Ma, which is an extension of Schaefer's theorem on locally convex topological spaces.
4 citations
TL;DR: In this article, the existence of solutions on a compact interval to second order boundary value problems for a class of functional differential inclusions in Banach spaces was investigated, based on a fixed point theorem for condensing maps due to Martelli.
Abstract: We investigate the existence of solutions on a compact interval to second order boundary value problems for a class of functional differential inclusions in Banach spaces. We rely on a fixed point theorem for condensing maps due to Martelli.
4 citations
TL;DR: In this paper, the concepts of lower mild and upper mild solutions combined with a xed point theorem for condensing maps and the semigroup theory are used to investigate the existence of mild solutions for rst order impulsive semilinear evolution inclusions.
Abstract: In this paper the concepts of lower mild and upper mild solutions combined with a xed point theorem for condensing maps and the semigroup theory are used to investigate the existence of mild solutions for rst order impulsive semilinear evolution inclusions.