| 关于Borg定理 |
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| 引用本文： | 谢惠琴,史金麟.关于Borg定理[J].纯粹数学与应用数学,2008,24(3). |
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| 作者姓名： | 谢惠琴 史金麟 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建,福州,350002;福州大学数学与计算机科学学院,福建,福州,350002 |
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| 基金项目： | 国家自然科学基金，福州大学校科研和教改项目 |
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| 摘 要： | Borg定理是判定周期系数二阶线性微分方程稳定的一个重要定理,这个定理在一定意义下是不可改进的.本文利用判别式的一个新形式,在弱的限制下,得到判定周期系数二阶线性微分方程稳定的定理,所得结论改进了Borg定理的判定结果.
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| 关 键 词： | 周期系数 二阶线性微分方程 稳定性 |
On Borg's theorem |
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| XIE Hui-qin,SHI Jin-lin.On Borg's theorem[J].Pure and Applied Mathematics,2008,24(3). |
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| Authors: | XIE Hui-qin SHI Jin-lin |
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| Institution: | XIE Hui-qin SHI Jin-lin College of Mathematics , Computer Science,Fuzhou University,Fuzhou 350002,China |
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| Abstract: | Borg's Theorem is an important theorem which determine the stability of second order linear differential equation with periodic coefficient, and it is impossible to improve this Theorem in some significance. In this paper, by a new form of discriminant, we obtain theorems which determine the stability of second order linear differential equation with periodic coefficient and improve the result of determination on Borg's Theorem under weak constrain. |
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| Keywords: | periodic coefficient second order linear differential equation stability |
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