๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence of solutions of nonlinear integrodifferential equations of sobolev type with nonlocal condition in Banach spaces

โœ 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

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Existence of Solutions of Nonlinear Neut
โœ J.P Dauer; K Balachandran ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 102 KB

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.

Nonlocal Cauchy problem for delay integr
โœ K. Balachandran; J.Y. Park; M. Chandrasekaran ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 628 KB

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.

Controllability of Sobolev-Type Integrod
โœ K. Balachandran; J.P. Dauer ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

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.