| IMPULSIVE BOUNDARY VALUE PROBLEMS FOR STURM-LIOUVILLE TYPE DIFFERENTIAL INCLUSIONS |
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| 作者姓名： | Yicheng LIU Jun WU Zhixiang LI |
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| 作者单位： | [1]Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073, China. [2]College of Mathematics and Computer Science, Changsha University of Science Technology, Changsha 410076, China. |
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| 摘 要： | In this paper, the authors investigate the existence of solutions of impulsive boundary value problems for Sturm-Liouville type differential inclusions which admit non-convex-valued multifunctions on right hand side. Two results under weaker conditions are presented. The methods rely on a fixed point theorem for contraction multi-valued maps due to Covitz and Nadler and Schaefer＇s fixed point theorem combined with lower semi-continuous multi-valued operators with decomposable values.
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| 关 键 词： | 边值问题 脉冲 积分包含 可测量选择 |
| 收稿时间： | 8 September 2005 |
| 修稿时间： | 2005-09-08 |
Impulsive Boundary Value Problems for Sturm-Liouville Type Differential Inclusions |
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| Yicheng LIU Jun WU Zhixiang LI.IMPULSIVE BOUNDARY VALUE PROBLEMS FOR STURM-LIOUVILLE TYPE DIFFERENTIAL INCLUSIONS[J].Journal of Systems Science and Complexity,2007,20(3):370-380. |
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| Authors: | Yicheng Liu Jun Wu Zhixiang Li |
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| Institution: | (1) Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha, 410073, China;(2) College of Mathematics and Computer Science, Changsha University of Science Technology, Changsha, 410076, China |
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| Abstract: | In this paper, the authors investigate the existence of solutions of impulsive boundary value problems for Sturm-Liouville
type differential inclusions which admit non-convex-valued multifunctions on right hand side. Two results under weaker conditions
are presented. The methods rely on a fixed point theorem for contraction multi-valued maps due to Covitz and Nadler and Schaefer’s
fixed point theorem combined with lower semi-continuous multi-valued operators with decomposable values. |
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| Keywords: | Boundary value problems contraction multi-valued map impulsive differential inclusions measurable selection |
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