Gronwall-OuIang-Type Integral Inequalities on Time Scales

Gronwall-OuIang-Type Integral Inequalities on Time Scales

<p/> <p>We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals. Some special cases of our results contain continuous Gronwall-type inequal...

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Main Authors: Bohner Martin, Liu Ailian
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/275826
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spelling doaj-517a2d166dd44972a37ee48793ec9a2e2020-11-24T21:44:39ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101275826Gronwall-OuIang-Type Integral Inequalities on Time ScalesBohner MartinLiu Ailian<p/> <p>We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals. Some special cases of our results contain continuous Gronwall-type inequalities and their discrete analogues. Several examples are included to illustrate our results at the end.</p>http://www.journalofinequalitiesandapplications.com/content/2010/275826
collection DOAJ
language English
format Article
sources DOAJ
author Bohner Martin
Liu Ailian
spellingShingle Bohner Martin
Liu Ailian
Gronwall-OuIang-Type Integral Inequalities on Time Scales
Journal of Inequalities and Applications
author_facet Bohner Martin
Liu Ailian
author_sort Bohner Martin
title Gronwall-OuIang-Type Integral Inequalities on Time Scales
title_short Gronwall-OuIang-Type Integral Inequalities on Time Scales
title_full Gronwall-OuIang-Type Integral Inequalities on Time Scales
title_fullStr Gronwall-OuIang-Type Integral Inequalities on Time Scales
title_full_unstemmed Gronwall-OuIang-Type Integral Inequalities on Time Scales
title_sort gronwall-ouiang-type integral inequalities on time scales
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals. Some special cases of our results contain continuous Gronwall-type inequalities and their discrete analogues. Several examples are included to illustrate our results at the end.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/275826
work_keys_str_mv AT bohnermartin gronwallouiangtypeintegralinequalitiesontimescales
AT liuailian gronwallouiangtypeintegralinequalitiesontimescales
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