Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay

In this work we study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in Krasnoselski-Schaefer type fixed point theorem, we have used an integral inequality establishe...

Full description

Bibliographic Details
Main Authors: Kishor D. Kucche, Machindra B. Dhakne
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2014/784956
Description
Summary:In this work we study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in Krasnoselski-Schaefer type fixed point theorem, we have used an integral inequality established by B. G. Pachpatte. The variants for obtained results are given. An example is considered to illustrate the obtained results.
ISSN:1687-9643
1687-9651