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

Kishor D. Kucche and Machindra B. Dhakne

International Journal of Differential Equations, 2014, vol. 2014, 1-13

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:784956

DOI: 10.1155/2014/784956

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