Some Difference Inequalities for Iterated Sums with Applications

被引：1
|
作者：
Wang, Wu-Sheng [1 ]
Wu, Shanhe [2 ]
机构：
[1] Hechi Univ, Sch Math & Stat, Yizhou 546300, Guangxi, Peoples R China
[2] Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
基金：
中国国家自然科学基金;
关键词：
GRONWALL-LIKE INEQUALITY; NONLINEAR INEQUALITIES; DISCRETE INEQUALITIES;
D O I：
10.1155/2013/804152
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main objective of this paper is to establish two new nonlinear sum-difference inequalities with multiple iterated sums. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. These new inequalities can be used as handy tools in the study of the estimation of solutions of difference equations.
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页数：9
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