BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS

被引：0
作者：
Shao, Jing [1 ,2 ]
Meng, Fanwei [3 ]
机构：
[1] Inst Appl Phys & Computat Math, 6 Huayuan Rd, Beijing 100088, Peoples R China
[2] Jining Univ, Dept Math, 1 Xingtan Rd, Qufu 273155, Shandong, Peoples R China
[3] Qufu Normal Univ, Sch Math Sci, 57 Jingxuanxi Rd, Qufu 273165, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 05期
关键词：
Impulsive differential equation; boundedness; integral inequalities; integral jump condition; discontinuous function; INEQUALITIES; DELAY; STABILITY;
D O I：
10.11948/2018.1575
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundedness of solutions for certain nonlinear impulsive differential equations are obtained, the jumping conditions at discontinuous points are related to the integral of the past states, rather than a left hand limit at the discontinuous points. These results are obtained by new built impulsive integral inequalities with integral jumping conditions using the method of successive iteration.
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收藏
页码：1575 / 1585
页数：11
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