New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications

Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations. Some examples of application are presented to show boundedness and uniqueness of solutions of a Volte...

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Main Authors: Kelong Cheng, Chunxiang Guo
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/539701
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author Kelong Cheng
Chunxiang Guo
author_facet Kelong Cheng
Chunxiang Guo
author_sort Kelong Cheng
collection DOAJ
description Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations. Some examples of application are presented to show boundedness and uniqueness of solutions of a Volterra-Fredholm type integral equation.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-75a001ec05214a9186ab6245821a79b02025-02-03T05:46:57ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/539701539701New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their ApplicationsKelong Cheng0Chunxiang Guo1School of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Business, Sichuan University, Chengdu 610064, ChinaSome linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations. Some examples of application are presented to show boundedness and uniqueness of solutions of a Volterra-Fredholm type integral equation.http://dx.doi.org/10.1155/2014/539701
spellingShingle Kelong Cheng
Chunxiang Guo
New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications
Abstract and Applied Analysis
title New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications
title_full New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications
title_fullStr New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications
title_full_unstemmed New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications
title_short New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications
title_sort new explicit bounds on gamidov type integral inequalities for functions in two variables and their applications
url http://dx.doi.org/10.1155/2014/539701
work_keys_str_mv AT kelongcheng newexplicitboundsongamidovtypeintegralinequalitiesforfunctionsintwovariablesandtheirapplications
AT chunxiangguo newexplicitboundsongamidovtypeintegralinequalitiesforfunctionsintwovariablesandtheirapplications