Some discrete nonlinear inequalities and applications to boundary value problems for difference equations

被引：28
|
作者：
Cheung, WS [1 ]
机构：
[1] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2004年 / 10卷 / 02期
关键词：
discrete Gronwall-Bellman-Ou-Iang type inequalities; boundary value problems; lattices; difference equations;
D O I：
10.1080/10236190310001604238
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish some new discrete Gronwall-Bellman-Ou-Iang type inequalities over 2-dimensional lattices. These, on one hand, generalize some existing results in the literature and on the other hand, provide a handy tool for the study of qualitative properties of solutions of difference equations. We illustrate this by applying these new results to certain boundary value problem for difference equations.
引用
收藏
页码：213 / 223
页数：11
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