Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation

Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation

Some new nonlinear weakly singular difference inequalities are discussed, which generalize some known weakly singular inequalities and can be used in the analysis of nonlinear Volterra-type difference equations with weakly singular kernel. An application to the upper bound of solutions of a nonlinea...

Full description

Bibliographic Details
Main Authors: Kelong Zheng, Wenqiang Feng, Chunxiang Guo
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/912874
id doaj-b7a4232696094a46828e94835b7917ca
record_format Article
spelling doaj-b7a4232696094a46828e94835b7917ca2020-11-24T23:44:54ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/912874912874Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference EquationKelong Zheng0Wenqiang Feng1Chunxiang Guo2School of Science, Southwest University of Science and Technology, Mianyang, Sichuan 621010, ChinaDepartment of Mathematics, University of Tennessee, Knoxville, TN 37996-0612, USASchool of Business, Sichuan University, Chengdu, Sichuan 610064, ChinaSome new nonlinear weakly singular difference inequalities are discussed, which generalize some known weakly singular inequalities and can be used in the analysis of nonlinear Volterra-type difference equations with weakly singular kernel. An application to the upper bound of solutions of a nonlinear difference equation is also presented.http://dx.doi.org/10.1155/2013/912874
collection DOAJ
language English
format Article
sources DOAJ
author Kelong Zheng
Wenqiang Feng
Chunxiang Guo
spellingShingle Kelong Zheng
Wenqiang Feng
Chunxiang Guo
Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation
Abstract and Applied Analysis
author_facet Kelong Zheng
Wenqiang Feng
Chunxiang Guo
author_sort Kelong Zheng
title Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation
title_short Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation
title_full Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation
title_fullStr Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation
title_full_unstemmed Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation
title_sort some new nonlinear weakly singular inequalities and applications to volterra-type difference equation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description Some new nonlinear weakly singular difference inequalities are discussed, which generalize some known weakly singular inequalities and can be used in the analysis of nonlinear Volterra-type difference equations with weakly singular kernel. An application to the upper bound of solutions of a nonlinear difference equation is also presented.
url http://dx.doi.org/10.1155/2013/912874
work_keys_str_mv AT kelongzheng somenewnonlinearweaklysingularinequalitiesandapplicationstovolterratypedifferenceequation
AT wenqiangfeng somenewnonlinearweaklysingularinequalitiesandapplicationstovolterratypedifferenceequation
AT chunxiangguo somenewnonlinearweaklysingularinequalitiesandapplicationstovolterratypedifferenceequation
_version_ 1725498068629979136

Similar Items