Generalized Gronwall-Bellman-type discrete inequalities and their applications

Generalized Gronwall-Bellman-type discrete inequalities and their applications

<p>Abstract</p> <p>In this paper, some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain difference equations. The established results gener...

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Main Authors: Meng Fanwei, Feng Qinghua, Zhang Yaoming
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Journal of Inequalities and Applications
Subjects:
Discrete inequalities
Difference equations
Explicit bounds
Qualitative analysis
Quantitative analysis
Online Access:http://www.journalofinequalitiesandapplications.com/content/2011/1/47
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spelling doaj-66a51a2d37674a278dbe620f7cbbfcf92020-11-24T20:51:58ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011147Generalized Gronwall-Bellman-type discrete inequalities and their applicationsMeng FanweiFeng QinghuaZhang Yaoming<p>Abstract</p> <p>In this paper, some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain difference equations. The established results generalize some of the recent results obtained by Cheung and Ma, respectively.</p> <p> <b>Mathematics Subject Classification (2010) </b>26D15</p> http://www.journalofinequalitiesandapplications.com/content/2011/1/47Discrete inequalitiesDifference equationsExplicit boundsQualitative analysisQuantitative analysis
collection DOAJ
language English
format Article
sources DOAJ
author Meng Fanwei
Feng Qinghua
Zhang Yaoming
spellingShingle Meng Fanwei
Feng Qinghua
Zhang Yaoming
Generalized Gronwall-Bellman-type discrete inequalities and their applications
Journal of Inequalities and Applications
Discrete inequalities
Difference equations
Explicit bounds
Qualitative analysis
Quantitative analysis
author_facet Meng Fanwei
Feng Qinghua
Zhang Yaoming
author_sort Meng Fanwei
title Generalized Gronwall-Bellman-type discrete inequalities and their applications
title_short Generalized Gronwall-Bellman-type discrete inequalities and their applications
title_full Generalized Gronwall-Bellman-type discrete inequalities and their applications
title_fullStr Generalized Gronwall-Bellman-type discrete inequalities and their applications
title_full_unstemmed Generalized Gronwall-Bellman-type discrete inequalities and their applications
title_sort generalized gronwall-bellman-type discrete inequalities and their applications
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2011-01-01
description <p>Abstract</p> <p>In this paper, some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain difference equations. The established results generalize some of the recent results obtained by Cheung and Ma, respectively.</p> <p> <b>Mathematics Subject Classification (2010) </b>26D15</p>
topic Discrete inequalities
Difference equations
Explicit bounds
Qualitative analysis
Quantitative analysis
url http://www.journalofinequalitiesandapplications.com/content/2011/1/47
work_keys_str_mv AT mengfanwei generalizedgronwallbellmantypediscreteinequalitiesandtheirapplications
AT fengqinghua generalizedgronwallbellmantypediscreteinequalitiesandtheirapplications
AT zhangyaoming generalizedgronwallbellmantypediscreteinequalitiesandtheirapplications
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