Impulsive Boundary Value Problems for First-order Ordinary Differential Inclusions

被引：0
|
作者：
Yi-cheng Liu
Jun Wu
Zhi-xiang Li
机构：
[1] National University of Defense Technology,Department of Mathematics and System Science, College of Science
[2] Changsha University of Science Technology,College of Mathematics and Computer Science
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2007年 / 23卷
关键词：
Impulsive differential inclusions; measurable selection; contraction multi-valued map; boundary value problems; 34K45; 49K24;
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学科分类号：
摘要：
In this paper, we investigate the existence of solutions for impulsive first order ordinary differential inclusions which admitting nonconvex valued right hand side. We present two classes of results. In the first one, we rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler, and for the second one, we use Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values under weaker conditions.
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页码：411 / 420
页数：9
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