On generalized impulsive piecewise constant delay differential equations

被引：0
|
作者：
Kuo-Shou Chiu
机构：
[1] Universidad Metropolitana de Ciencias de la Educación,Departamento de Matemática, Facultad de Ciencias Básicas
来源：
Science China Mathematics | 2015年 / 58卷
关键词：
impulsive differential equation; piecewise constant delay of generalized type; variation of parameters formula; Gronwall integral inequality; Green function; oscillation; nonoscillation; stability of solutions; 34A36; 34K11; 34K20; 34K34; 34K45; 26D10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A variation of parameters formula with Green function type and Gronwall type integral inequality are proved for impulsive differential equations involving piecewise constant delay of generalized type. Some results for piecewise constant linear and nonlinear delay differential equations with impulsive effects are obtained. They include existence and uniqueness theorems, a variation of parameters formula, integral inequalities, the oscillation property and some applications.
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页码：1981 / 2002
页数：21
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