Impulsive Boundary Value Problems for First-order Ordinary Differential Inclusions

作     者：Yi-cheng Liu Jun Wu Zhi-xiang Li 

作者机构：Department of Mathematics and System Science College of Science National University of Defense TechnologyChangsha 410073 China College of Mathematics and Computer Science Changsha University of Science Technology Changsha 410076China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2007年第23卷第3期

页      面：411-420页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Impulsive differential inclusions measurable selection contraction multi-valued map boundaryvalue problems 

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 Schacfer＇s fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values under weaker conditions.