Nonlinear integral inequality with power and its application in delay integro-differential equations

被引：7

作者：

Tian, Yazhou ^{[1
]}

Fan, Min ^{[2
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan, Peoples R China

[2] Qingdao Univ Technol, Feixian, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nonlinear; Integral inequality; Power; Delay IDE; 2 INDEPENDENT VARIABLES;

D O I：

10.1186/s13662-020-02596-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New nonlinear integral inequalities (NII) are presented in this paper. Based on mathematical analysis technique, several estimation results are obtained, which not only complement the aforementioned results, but also generalize the inequalities to the more general nonlinearities. As an application, they can be employed to estimate the bound on the solutions of power integro-differential equations (IDE).

引用

页数：11

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