Existence of integral manifolds for impulsive differential equations in a Banach space
✍ Scribed by D. D. Bainov; S. I. Kostadinov; Nguyêñ Hông Thái; P. P. Zabreiko
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 629 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0020-7748
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📜 SIMILAR VOLUMES
By means of piecewise continuous functions which are analogues of Lyapunov's functions, sufficient conditions are obtained for the existence of integral manifolds for impulsive differential-difference equations with variable impulsive perturbations.
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.
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.