Gronwall-OuIang-Type Integral Inequalities on Time Scales

被引：1

作者：

Liu, Ailian ^{[1
,2
]}

Bohner, Martin ^{[1
]}

机构：

[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

[2] Shandong Econ Univ, Sch Math & Stat, Jinan 250014, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

Chain Rule; Integral Inequality; Discrete Analogue; Nonoscillatory Solution; Nonnegative Constant;

D O I：

10.1155/2010/275826

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals. Some special cases of our results contain continuous Gronwall-type inequalities and their discrete analogues. Several examples are included to illustrate our results at the end.

引用

页数：15

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