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...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2013; no. 2013; pp. 1 - 6
Main Authors Zheng, Kelong, Feng, Wenqiang, Guo, Chunxiang
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2013
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Wiley
Subjects
Difference equations
Differential equations, Nonlinear
Inequalities (Mathematics)
Mathematical research
Singularities (Mathematics)
China
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/912874