In this paper we prove the existence of mild solutions of a nonlinear neutral integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.
Existence of solutions of neutral functional integrodifferential equation in Banach spaces
โ Scribed by K. Balachandran; R. Sakthivel
- Publisher
- Indian Academy of Sciences
- Year
- 1999
- Tongue
- English
- Weight
- 286 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0253-4142
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๐ SIMILAR VOLUMES
Sufficient conditions for controllability of neutral functional integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem. An example is provided to illustrate the theory.
In this paper, we study a class of neutral partial functional integrodifferential equations with finite delay by using the theory of resolvent operators. We give some sufficient conditions ensuring the existence, uniqueness and regularity of solutions. As an application, we also consider a diffusive
Sufficient conditions for existence of mild solutions for abstract second-order neutral functional integrodifferential equations are established by using the theory of strongly continuous cosine families of operators and the Schaefer theorem.