| 变系数二阶微分方程的稳定性 |
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| 引用本文： | 高国柱.变系数二阶微分方程的稳定性[J].纺织高校基础科学学报,2000,13(2):110-113. |
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| 作者姓名： | 高国柱 |
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| 作者单位： | 东华大学,理学院,上海,200051 |
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| 摘 要： | 研究二阶微分方程ｘ（ｔ）＋ｐ（ｔ）ｘ（ｔ）＋ｑ（ｔ）ｘ（ｔ）＝０的稳定性问题，获得某些有用的充分性条件，结果可用于讨论不满足有关文献中假设条件的方程的稳定性问题。
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| 关 键 词： | 二阶微分方程 稳定性 渐近稳定性 Lyapunov |
| 文章编号： | 1006-8341(2000)02-0110-04 |
| 修稿时间： | 2000-01-06 |
Stability of the second order differential equations with variable coefficients |
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| GAO Guo-zhu.Stability of the second order differential equations with variable coefficients[J].Basic Sciences Journal of Textile Universities,2000,13(2):110-113. |
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| Authors: | GAO Guo-zhu |
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| Affiliation: | GAO Guo-zhu
(Inst. Of Math. And Phys. ,Donghua University,Shanghai 200051,China) |
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| Abstract: | Stability problems of the second order differential equations (t) + p(t) (t) + q(t)x(t) = 0 are studied. Some sufficient conditions are obtained which can be used to discuss the stability problems of some equations not to be considered before. |
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| Keywords: | the second order differential equation stability asymptotic stability |
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