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

Kishor D. Kucche | Zendy; M. B. Dhakne | Zendy

Open Access

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

Author(s) -

Kishor D. Kucche,

M. B. Dhakne

Publication year - 2014

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2014/784956

Subject(s) - mathematics , banach space , integral equation , fixed point theorem , mathematical analysis , inequality , a priori and a posteriori , pure mathematics , epistemology , philosophy

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

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