An existence result for first-order impulsive functional differential equations in banach spaces
β Scribed by M. Benchohra; J. Henderson; S.K. Ntouyas
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 341 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
We use the nonlinear alternative and topological transversality to prove an existence theorem for the solutions of the functional differential equation αΊ(t) = F (t, x t ), where x t (ΞΈ ) = x(t + ΞΈ ) for all ΞΈ β [-r, 0] and F : [0, A] Γ X 2 β X , X is a Banach space and X 2 is the Banach space of con
This paper is mainly concerned with the existence of solutions of first order nonlinear impulsive fractional integrodifferential equations in Banach spaces. The results are obtained by using fixed point principles. Further, some interesting examples are presented to illustrate the theory.
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.