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...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.650-655-1259
Hauptverfasser: Zheng, Kelong, Feng, Wenqiang, Guo, Chunxiang
Format: Artikel
Sprache:eng
Schlagworte:
Difference equations
Differential equations, Nonlinear
Inequalities (Mathematics)
Mathematical research
Singularities (Mathematics)
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/912874