Some New Discrete Gronwall-Bellman Type Inequalities with Three Independent Variables and Applications

Some new discrete Gronwall-Bellman type inequalities with three independent variables which generalize some existing results and can be used as handy tools in the study of qualitative and quantitative properties of solutions of certain classes of difference equation are presented. As applications, s...

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Main Authors: Weihua Liu, Haisong Huang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/8320236
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author Weihua Liu
Haisong Huang
author_facet Weihua Liu
Haisong Huang
author_sort Weihua Liu
collection DOAJ
description Some new discrete Gronwall-Bellman type inequalities with three independent variables which generalize some existing results and can be used as handy tools in the study of qualitative and quantitative properties of solutions of certain classes of difference equation are presented. As applications, some difference equations with the initial boundary conditions are also considered.
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-e2583f15ea034ec6848443beeaf586e72025-02-03T01:21:07ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/83202368320236Some New Discrete Gronwall-Bellman Type Inequalities with Three Independent Variables and ApplicationsWeihua Liu0Haisong Huang1College of Information and Management Science, Henan Agricultural University, Zhengzhou 450002, ChinaFaculty of General Education, Zhengzhou Technology and Business University, Zhengzhou 450026, ChinaSome new discrete Gronwall-Bellman type inequalities with three independent variables which generalize some existing results and can be used as handy tools in the study of qualitative and quantitative properties of solutions of certain classes of difference equation are presented. As applications, some difference equations with the initial boundary conditions are also considered.http://dx.doi.org/10.1155/2018/8320236
spellingShingle Weihua Liu
Haisong Huang
Some New Discrete Gronwall-Bellman Type Inequalities with Three Independent Variables and Applications
Journal of Function Spaces
title Some New Discrete Gronwall-Bellman Type Inequalities with Three Independent Variables and Applications
title_full Some New Discrete Gronwall-Bellman Type Inequalities with Three Independent Variables and Applications
title_fullStr Some New Discrete Gronwall-Bellman Type Inequalities with Three Independent Variables and Applications
title_full_unstemmed Some New Discrete Gronwall-Bellman Type Inequalities with Three Independent Variables and Applications
title_short Some New Discrete Gronwall-Bellman Type Inequalities with Three Independent Variables and Applications
title_sort some new discrete gronwall bellman type inequalities with three independent variables and applications
url http://dx.doi.org/10.1155/2018/8320236
work_keys_str_mv AT weihualiu somenewdiscretegronwallbellmantypeinequalitieswiththreeindependentvariablesandapplications
AT haisonghuang somenewdiscretegronwallbellmantypeinequalitieswiththreeindependentvariablesandapplications