A unified approach to nonlocal impulsive differential equations with the measure of noncompactness

被引：0
|
作者：
Shaochun Ji
Gang Li
机构：
[1] Yangzhou University,School of Mathematical Science
[2] Huaiyin Institute of Technology,Faculty of Mathematics and Physics
来源：
Advances in Difference Equations | / 2012卷
关键词：
impulsive conditions; nonlocal conditions; Hausdorff measure of noncompactness; fixed point theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the existence of mild solutions to impulsive differential equations with nonlocal conditions. We firstly establish a property of the measure of noncompactness in the space of piecewise continuous functions. Then, by applying this property and Darbo-Sadovskii’s fixed point theorem, we get the existence results of impulsive differential equations in a unified way under compactness conditions, Lipschitz conditions and mixed-type conditions, respectively.
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