Author:
Zheng Kelong,Wang Hong,Guo Chunxiang
Abstract
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference23 articles.
1. Agarwal RP, Deng S, Zhang W: Generalization of a retarded Gronwall-like inequality and its applications. Appl. Math. Comput. 2005, 165: 599–612. 10.1016/j.amc.2004.04.067
2. Cheung WS, Ma QH, Tseng S: Some new nonlinear weakly singular integral inequalities of Wendroff type with applications. J. Inequal. Appl. 2008., 2008: Article ID 909156
3. Deng S, Prather C: Generalization of an impulsive nonlinear singular Gronwall-Bihari inequality with delay. JIPAM. J. Inequal. Pure Appl. Math. 2008., 9: Article ID 34
4. Deng S: Nonlinear discrete inequalities with two variables and their applications. Appl. Math. Comput. 2010, 217: 2217–2225. 10.1016/j.amc.2010.07.022
5. Ma QH, Yang EH: Estimations on solutions of some weakly singular Volterra integral inequalities. Acta Math. Appl. Sin. 2002, 25: 505–515.
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