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.

引用

共 50 条

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