| 分段连续常微分方程的边值问题 |
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| 引用本文： | 何冶奇. 分段连续常微分方程的边值问题[J]. 上海交通大学学报, 1991, 25(1): 46-55 |
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| 作者姓名： | 何冶奇 |
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| 作者单位： | 上海交通大学工程力学系 |
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| 基金项目： | 上海交通大学青年科学基金资助课题. |
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| 摘 要： | 本文对分段连续常微分方程给出了一种新的实用的广义全局解定义,并得到了这种解的存在及连续性定理;建立了解分段连续常微分方程边值问题的打靶方法.最后,给出了几个典型的算例.
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| 关 键 词： | 常液分方程 边值问题 打靶法 |
Boundary Problems of Piece-wise Continuous Ordinary Differential Equations |
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| He Yeqi. Boundary Problems of Piece-wise Continuous Ordinary Differential Equations[J]. Journal of Shanghai Jiaotong University, 1991, 25(1): 46-55 |
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| Authors: | He Yeqi |
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| Abstract: | In this paper,by the introduction of the definition of a new andpractical kind of generalized global solution of piece-wise continuous ordin-ary differential equations,the theorem of the existence and continuity ofsuch a kind of solution is obtained.Then,the shooting method for solvingboundary problems of piece-wise continuous equations is established.Finally,several typical example are given. |
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| Keywords: | ordinary differential equation shooting method boundary-value problem global solution |
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