On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications

On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications

Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. A few applications to the upper bound and th...

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Main Authors: Kelong Cheng, Chunxiang Guo, Qingke Zeng
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/795456
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spelling doaj-0456d04f09a04ef1adc5629554e7e5352020-11-24T23:37:01ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/795456795456On Weakly Singular Versions of Discrete Nonlinear Inequalities and ApplicationsKelong Cheng0Chunxiang Guo1Qingke Zeng2School of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Business, Sichuan University, Chengdu 610064, ChinaSchool of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaSome new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. A few applications to the upper bound and the uniqueness of solutions of nonlinear difference equations are also involved.http://dx.doi.org/10.1155/2014/795456
collection DOAJ
language English
format Article
sources DOAJ
author Kelong Cheng
Chunxiang Guo
Qingke Zeng
spellingShingle Kelong Cheng
Chunxiang Guo
Qingke Zeng
On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
Abstract and Applied Analysis
author_facet Kelong Cheng
Chunxiang Guo
Qingke Zeng
author_sort Kelong Cheng
title On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
title_short On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
title_full On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
title_fullStr On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
title_full_unstemmed On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
title_sort on weakly singular versions of discrete nonlinear inequalities and applications
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. A few applications to the upper bound and the uniqueness of solutions of nonlinear difference equations are also involved.
url http://dx.doi.org/10.1155/2014/795456
work_keys_str_mv AT kelongcheng onweaklysingularversionsofdiscretenonlinearinequalitiesandapplications
AT chunxiangguo onweaklysingularversionsofdiscretenonlinearinequalitiesandapplications
AT qingkezeng onweaklysingularversionsofdiscretenonlinearinequalitiesandapplications
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