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Existence of solutions of nonlinear abstract neutral integrodifferential equations

✍ Scribed by K. Balachandran; G. Shija; J.H. Kim

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
571 KB
Volume
48
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we establish a set of sufficient conditions for the existence of mild solutions of nonlinear neutral integrodifferential equations in Banach spaces by using the Schaefer fixed-point theorem. An application is provided to illustrate the theory.

πŸ“œ SIMILAR VOLUMES

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Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations
✍ K. Balachandran; D.G. Park; S.Marshal Anthoni πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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.

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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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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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The existence of a unique solution to the nonlinear mixed neutral equation is proven, as is the continuous dependence of the solution on initial conditions.