Some new generalized retarded inequalities for discontinuous functions and their applications

被引：18

作者：

Zheng, Zhaowen ^{[1
]}

Gao, Xin ^{[1
]}

Shao, Jing ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Jining Univ, Dept Math, Qufu 273155, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

retarded differential-integral equation; global existence; estimation; impulsive equation; GRONWALL-LIKE INEQUALITY;

D O I：

10.1186/s13660-015-0943-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some new generalized retarded inequalities for discontinuous functions are discussed, which are effective in dealing with the qualitative theory of some impulsive differential equations and impulsive integral equations. Compared with some existing integral inequalities, these estimations can be used as tools in the study of differential-integral equations with impulsive conditions.

引用

页码：1 / 14

页数：14

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