Nonlinear discrete inequalities with two variables and their applications

被引：26
|
作者：
Deng, Shengfu [1 ]
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 05期
基金：
中国博士后科学基金;
关键词：
Discrete inequality; Nonlinear; Volterra type; Boundedness; Uniqueness; BOUNDARY-VALUE-PROBLEMS; INTEGRAL-INEQUALITIES; BIHARI-TYPE; GRONWALL-INEQUALITIES;
D O I：
10.1016/j.amc.2010.07.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An error in the proof of Theorem 1 by Zheng et al. [K. Zheng, Y. Wu, S. Zhong, Discrete non-linear integral inequalities in two variables and their applications, Appl. Math. Comput. 207 (2009) 140-147] is reported. This paper gives the right proof under some additional condition. Application examples to show boundedness and uniqueness of solutions of a Volterra type difference equation are also given. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2217 / 2225
页数：9
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