PACHPATTE'S TYPE INTEGRAL INEQUALITIES WITH INTEGRAL IMPULSES

被引：4

作者：

Thiramanus, Phollakrit ^{[1
]}

Tariboon, Jessada ^{[1
]}

Ntouyas, Sotiris K. ^{[2
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2014年 / 8卷 / 04期

关键词：

Impulsive integral inequalities; impulsive differential equations; integral jump; Pachpatte's integral inequalities; FUNCTIONAL-DIFFERENTIAL EQUATIONS; GRONWALL-LIKE INEQUALITY; DISCONTINUOUS FUNCTIONS; DELAY; STABILITY; SYSTEMS;

D O I：

10.7153/jmi-08-63

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the present paper is to establish some new Pachpatte's type integral inequalities with integral impulses, which provide explicit bounds on unknown functions and extend some results of Pachpatte's inequalities. These inequalities can be used as basic tools to investigate the qualitative properties of certain impulsive differential equations and impulsive integral equations.

引用

页码：839 / 853

页数：15

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