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.
Impulsive semilinear neutral functional differential inclusions with multivalued jumps
โ Scribed by Nadjet Abada; Ravi P. Agarwal; Mouffak Benchohra; Hadda Hammouche
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 203 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0862-7940
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we shall establish sufficient conditions for the existence of integral solutions for some nondensely defined impulsive semilinear functional differential inclusions with state-dependent delay in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely
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.
This paper deals with the controllability of a class of impulsive neutral stochastic functional differential inclusions with infinite delay in an abstract space. Sufficient conditions for the controllability are derived with the help of the fixed point theorem for discontinuous multivalued operators