| 关于微分方程初值问题解的延展定理的补充说明 |
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| 引用本文： | 冯由玲,李展. 关于微分方程初值问题解的延展定理的补充说明[J]. 河南科学, 2010, 28(5): 523-525 |
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| 作者姓名： | 冯由玲 李展 |
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| 作者单位： | 吉林财经大学,应用数学学院,长春,130117;郑州大学,数学系,郑州,450001 |
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| 基金项目： | 高等学校博士学科点专项科研基金,长春税务学院青年项目,吉林省教育厅资助项目,吉林省教育厅十一五科学技术研究项目,长春税务学院项目 |
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| 摘 要： | 在文献[1]的基础上对微分方程初值问题解的延展定理给出了更具体、更完整的描述和说明.给出了初值问题解无限振荡趋于边界的两个具体例子,并得到了解趋于边界上一点的充分条件.对文献[1]的结论做了更详细的补充说明.
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| 关 键 词： | 初值问题 延展定理 无限振荡 |
The Remark to the Extension Theorem of Initial Value Problem of ODE |
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| Feng Youling,Li Zhan. The Remark to the Extension Theorem of Initial Value Problem of ODE[J]. Henan Science, 2010, 28(5): 523-525 |
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| Authors: | Feng Youling Li Zhan |
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| Affiliation: | 1. Department of Applied Mathematics, Jilin University of Finance ＆ Economies, Changehun 130117 2. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China) |
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| Abstract: | Based on Ref. [1], the more integrated and Concrete description of the Extension Theorem of initial value problem of ODE are given. And two examples are given on the condition that the solution of the initial problem of ODE can tend to the boundary of domain with infinite oscillation. And the sufficient condition of the solution tending to one point of the domain are obtained. The results of this paper have improved the results in Ref. [1]. |
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| Keywords: | initial value problem the extension theorem domain with infinite |
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