| 一类三阶非线性微分方程周期解的存在唯一性 |
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| 引用本文： | 刘俊,崔萍. 一类三阶非线性微分方程周期解的存在唯一性[J]. 数学理论与应用, 2001, 0(1) |
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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!曲靖，655000，曲靖师范学院数学系!曲靖，655000 |
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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 )，曲靖师范学院科研资助课题!(2 0 0 0 0 6 ) |
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| 摘 要： | 本文运用 L iapunov函数方法 ,研究了一类三阶非线性微分方程的周期解 ,得到了存在唯一渐近稳定的周期解的充分条件
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| 关 键 词： | 微分方程 Liapunov函数 周期解 稳定性 |
Existence and Uniqueness of Periodic Solutions for a Class of Third Order Nonlinear Differential Eguations |
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| Liu Jun Cui Ping. Existence and Uniqueness of Periodic Solutions for a Class of Third Order Nonlinear Differential Eguations[J]. Mathematical Theory and Applications, 2001, 0(1) |
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| Authors: | Liu Jun Cui Ping |
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| Abstract: | In this paper, the periodic solutions of a class of third order nonlinear differential equations are studied by using the method of Liapunov function. We obtain the sufficient conditions which guarantee the existence, uniqueness and asymptotic stability of the periodic solutions. |
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| Keywords: | differential equation Liapunov function periodic solution stability. |
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