| 二阶微分包含的边值问题及其应用 |
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| 引用本文： | 魏雷,朱江. 二阶微分包含的边值问题及其应用[J]. 徐州师范大学学报(自然科学版), 2006, 24(2): 27-32 |
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| 作者姓名： | 魏雷 朱江 |
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| 作者单位： | 徐州师范大学,数学系,江苏,徐州,221116 |
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| 基金项目： | 江苏省教育厅自然科学基金资助项目(05KJD110225) |
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| 摘 要： | 在可分的Banach空间中,讨论了一类二阶微分包含的边值问题和一类反馈控制问题.结合不动点定理,对解的存在性和状态控制对的存在性分别给出了充分性条件.
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| 关 键 词： | 上半连续 k集压缩 L1-Caratheodory条件 不动点 |
| 文章编号： | 1007-6573(2006)02-0027-06 |
| 收稿时间： | 2005-11-23 |
| 修稿时间： | 2005-11-23 |
Second-order Boundary Value Problem in Differential Inclusions and Applications |
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| WEI Lei,ZHU Jiang. Second-order Boundary Value Problem in Differential Inclusions and Applications[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2006, 24(2): 27-32 |
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| Authors: | WEI Lei ZHU Jiang |
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| Affiliation: | Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China |
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| Abstract: | In this paper,a kind of second-order boundary value problem for differential inclusions and feedback control systems in Banach space is studied.Two sufficient conditions f or the existence of the solutions for the second-order differential inclusions are given by using fixed point theorems.A new existence of state controllability pair for feedback control systems is established from above result. |
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| Keywords: | upper semicontinuity k-set contractive map L ~1-Caratheodory condition fixed point |
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