| 微分包含的周期生存轨道 |
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| 引用本文： | 王志华. 微分包含的周期生存轨道[J]. 应用数学和力学, 1999, 20(6): 633-639 |
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| 作者姓名： | 王志华 |
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| 作者单位： | 山东电力研究院经济研究所, 济南 250002 |
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| 摘 要： | 对微分包含的周期生存轨道进行了研究讨论。首先给出微分包含生存问题的一约化性质;然后,利用投影微分包含的方法给出有限维空间中微分包含的周期生存轨道的一个存在性结果;在此基础上,利用Galerkin逼近方法得到Hilbert空间中偏微分包含周期生存轨道的存在性定理。
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| 关 键 词： | 微分包含 相依锥 生存轨道 Galerkin方法 |
| 收稿时间： | 1997-01-23 |
| 修稿时间： | :1997-01-2 |
Periodic Viable Trajectories of Differential Inclusions |
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| Wang Zhihua. Periodic Viable Trajectories of Differential Inclusions[J]. Applied Mathematics and Mechanics, 1999, 20(6): 633-639 |
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| Authors: | Wang Zhihua |
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| Affiliation: | Institute of Economics, Shangdong Electric Power Research Institute, Jinan 250002, P R China |
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| Abstract: | In this paper the periodic viable trajectories of differential inclusions are discussed. Firstly, a simplified proprety of differential inclusions is given. Then, an existence theorem of periodic viable trajectories of differential inclusions in a finite dimensional space is proved. With the above results and Galerkin's approximation, an existence theorem of periodic viable trajectories of partial differential in a Hilbert space is proved. |
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| Keywords: | differential inclusion contigent cone viable trajectory Galerkin approximation |
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