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

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
id doaj-d416b60a135f4aa699205cec2c188e56
record_format Article
spelling doaj-d416b60a135f4aa699205cec2c188e562020-11-24T22:54:17ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/784956784956Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite DelayKishor D. Kucche0Machindra B. Dhakne1Department of Mathematics, Shivaji University, Kolhapur, Maharashtra 416 004, IndiaDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra 431 004, IndiaIn 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.http://dx.doi.org/10.1155/2014/784956
collection DOAJ
language English
format Article
sources DOAJ
author Kishor D. Kucche
Machindra B. Dhakne
spellingShingle Kishor D. Kucche
Machindra B. Dhakne
Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay
International Journal of Differential Equations
author_facet Kishor D. Kucche
Machindra B. Dhakne
author_sort Kishor D. Kucche
title Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay
title_short Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay
title_full Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay
title_fullStr Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay
title_full_unstemmed Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay
title_sort existence of solution via integral inequality of volterra-fredholm neutral functional integrodifferential equations with infinite delay
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/784956
work_keys_str_mv AT kishordkucche existenceofsolutionviaintegralinequalityofvolterrafredholmneutralfunctionalintegrodifferentialequationswithinfinitedelay
AT machindrabdhakne existenceofsolutionviaintegralinequalityofvolterrafredholmneutralfunctionalintegrodifferentialequationswithinfinitedelay
_version_ 1725660829641080832

Similar Items