| 具有缓变系数的三阶非线性微分方程解的稳定性 |
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| 引用本文： | 刘俊,崔萍. 具有缓变系数的三阶非线性微分方程解的稳定性[J]. 皖西学院学报, 2001, 17(2): 17-20 |
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| 作者姓名： | 刘俊 崔萍 |
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| 作者单位： | 曲靖师范学院,数学系,云南,曲靖,655000 |
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| 基金项目： | 云南省教委应用基础研究课题和曲靖师范学院科研课题. |
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| 摘 要： | 本文利用Liapunov函数方法，研究了一类最一般的具有缓变系数的三阶非线性齐次微分方程解的稳定性，得到了保证零解渐近稳定的充分条件。
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| 关 键 词： | 三阶非线性微分方程 Liapunov函数 稳定性 缓变系数 零解 渐进稳定 估计 |
| 文章编号： | 1009-9735(2001)02-0017-04 |
| 修稿时间： | 1999-11-16 |
Stability of Solution for Third - Order Nonlinear Differential Equations with Slowly Changed Coefficients |
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| Liu Jun,Cui Ping. Stability of Solution for Third - Order Nonlinear Differential Equations with Slowly Changed Coefficients[J]. Journal of Wanxi University, 2001, 17(2): 17-20 |
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| Authors: | Liu Jun Cui Ping |
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| Abstract: | In this paper, we study the stability of solution for a class of the most universal third-ordere non- linear homogeneous differential equations with slowly changed coefficients by using the method of Liapunov Func- tion. We obtain the sufficient conditions which guarantee the asymptotic stability of the trivial solutions. |
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| Keywords: | differential equation Liapunov function stability |
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