Existence of solutions of nonlinear integrodifferential equations of sobolev type with nonlocal condition in Banach spaces
โ Scribed by K. Balachandran; K. Uchiyama
- Publisher
- Indian Academy of Sciences
- Year
- 2000
- Tongue
- English
- Weight
- 99 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0253-4142
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๐ SIMILAR VOLUMES
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.
In this paper, we prove the existence of mild and strong solutions of nonlinear time varying delay integrodifferential equations of Sobolev type with nonlocal cqnditions in Banach spaces. The results are obtained by using the theory of compact semigroups and Schaefer's fixed-point theorem.
Sufficient conditions for controllability of Sobolev-type integrodifferential systems in Banach spaces are established. The results are obtained using compact semigroups and the Schauder fixed-point theorem. As an example is provided to illustrate the results.