| 关于微分包含的周期解及其应用 |
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| 引用本文： | 李国成,薛小平,宋士吉.关于微分包含的周期解及其应用[J].应用数学和力学,2004,25(2):150-158. |
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| 作者姓名： | 李国成 薛小平 宋士吉 |
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| 作者单位： | 哈尔滨工业大学 数学系,哈尔滨 150001;2.清华大学 自动化系,北京 100084 |
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| 基金项目： | 国家自然科学基金资助项目(10271035)，国家973资助项目(2002CB312205) |
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| 摘 要： | 研究了一类发展包含的周期问题，其结果应用于建立一类半线性微分包含周期解的存在性定理．给出了半线性微分包含端点解的存在性定理和强松驰定理，并且应用于周期反馈控制系统．
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| 关 键 词： | 发展包含 半线性微分包含 周期解 连续选择 紧算子 不动点 |
| 文章编号： | 1000-0887(2004)02-0150-09 |
| 收稿时间： | 2001-07-03 |
| 修稿时间： | 2001年7月3日 |
On the Periodic Solutions of Differential Inclusions and Applications |
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| LI Guo-cheng,XUE Xiao-ping,SONG Shi-ji.On the Periodic Solutions of Differential Inclusions and Applications[J].Applied Mathematics and Mechanics,2004,25(2):150-158. |
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| Authors: | LI Guo-cheng XUE Xiao-ping SONG Shi-ji |
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| Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China; |
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| Abstract: | The periodic problem of evolution inclusion is studied and its results are used to establish existence theorems of periodic solutions of a class of semi_linear differential inclusion.Also existence theorem of the extreme solutions and the strong relaxation theorem are given for this class of semi_linear differential inclusion.An application to some feedback control systems is discussed. |
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| Keywords: | evolution inclusion semi_linear differential inclusion periodic solution continuous selector compact operator fixed point |
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