On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations

Advances in Difference Equations

Chunxiang Guo¹  Kelong Zheng²  Hong Wang² 

[1] School of Business, Sichuan University, Chengdu, Sichuan, China;School of Science, Southwest University of Science and Technology, Mianyang, Sichuan, China

关键词: discrete integral inequalities;    weakly singular;    Volterra difference equation;    multi-step;   

DOI  :  10.1186/1687-1847-2013-239

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Some nonlinear discrete weakly singular inequalities, which generalize some known results are discussed. Under suitable parameters, prior bounds on solutions to nonlinear Volterra-type difference equations are obtained. Two examples are presented to show the applications of our results in boundedness and uniqueness of solutions of difference equations, respectively. MSC:34A34, 45J05.

【 授权许可】

CC BY