Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales

We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions. The obtained results can be utilized to investigate the qualitative theory of nonlinear delay Volterra–Fredholm type dyna...

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Main Authors: Yazhou Tian, A. A. El-Deeb, Fanwei Meng
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/5841985
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author Yazhou Tian
A. A. El-Deeb
Fanwei Meng
author_facet Yazhou Tian
A. A. El-Deeb
Fanwei Meng
author_sort Yazhou Tian
collection DOAJ
description We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions. The obtained results can be utilized to investigate the qualitative theory of nonlinear delay Volterra–Fredholm type dynamic equations. An example is also presented to illustrate the theoretical results.
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institution Kabale University
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language English
publishDate 2018-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-19a2749f2de3440ba8067763ab2a4c182025-02-03T00:59:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/58419855841985Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time ScalesYazhou Tian0A. A. El-Deeb1Fanwei Meng2School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, EgyptSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaWe are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions. The obtained results can be utilized to investigate the qualitative theory of nonlinear delay Volterra–Fredholm type dynamic equations. An example is also presented to illustrate the theoretical results.http://dx.doi.org/10.1155/2018/5841985
spellingShingle Yazhou Tian
A. A. El-Deeb
Fanwei Meng
Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
Discrete Dynamics in Nature and Society
title Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
title_full Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
title_fullStr Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
title_full_unstemmed Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
title_short Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
title_sort some nonlinear delay volterra fredholm type dynamic integral inequalities on time scales
url http://dx.doi.org/10.1155/2018/5841985
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AT fanweimeng somenonlineardelayvolterrafredholmtypedynamicintegralinequalitiesontimescales