| 一类四阶非线性微分方程解的有界性及稳定性 |
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| 引用本文： | 刘俊,李正彪,等.一类四阶非线性微分方程解的有界性及稳定性[J].曲靖师范学院学报,2002,21(3):9-13. |
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| 作者姓名： | 刘俊 李正彪 |
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| 作者单位： | 曲靖师范学院数学系 云南曲靖655000
(刘俊，李正彪，崔萍，荀凤仙)，曲靖师范学院数学系 云南曲靖655000(向长福) |
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| 基金项目： | 云南省教委应用基础研究课题 (0 0 12 2 2 6)，曲靖师范学院科研课题 (0 11190 1) |
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| 摘 要： | 本文利用Liapunov函数方法，研究了一类四阶非线性微分方程解的稳定性及有界性，得出了解的有界性及稳定性存在的充分条件。
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| 关 键 词： | 四阶非线性微分方程 解 有界性 Liapunov函数方法 渐近稳定性 充分条件 |
On the Boundedness and
the Stability of Solutions for a Class of Fourth Order Nonlinear Differential Equations |
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| LIU Jun,LI Zheng-biao,CUI Ping,XUN Feng-xian,XIANG Chang-fu.On the Boundedness and
the Stability of Solutions for a Class of Fourth Order Nonlinear Differential Equations[J].Journal of Qujing Normal College,2002,21(3):9-13. |
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| Authors: | LIU Jun LI Zheng-biao CUI Ping XUN Feng-xian XIANG Chang-fu |
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| Abstract: | In this paper,the boundedness and stability of solutions for a class of fourth order nonlinear differential equations are studied by using the method of Liapunov function. We obtain the sufficient conditions which guarantee the boundedness and stability of solutions. |
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| Keywords: | nonlinear differential equation Liapunov function asymptotic stability boundednes |
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