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Existence of solutions of neutral functional integrodifferential equation in Banach spaces

โœ 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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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.

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โœ K. Balachandran; R. Sakthivel; J.P. Dauer ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 409 KB

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.

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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

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โœ K. Balachandran; D.G. Park; S.Marshal Anthoni ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 632 KB

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.