Impulsive boundary value problems for first-order ordinary differential inclusions

被引：1
|
作者：
Liu, Yi-cheng [1 ]
Wu, Jun [2 ]
Li, Zhi-xiang [1 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Dept Syst Sci & Math, Changsha 410073, Peoples R China
[2] Changsha Univ Sci Technol, Coll Math & Comp Sci, Changsha 410076, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2007年 / 23卷 / 03期
关键词：
impulsive differential inclusions; measurable selection; contraction multi-valued map; boundary value problems;
D O I：
10.1007/s10255-007-0381-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：10
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