| 一类三阶非线性微分方程概周期解的研究(英文) |
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| 引用本文： | 刘俊,崔萍.一类三阶非线性微分方程概周期解的研究(英文)[J].曲靖师范学院学报,2000(3). |
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| 作者姓名： | 刘俊 崔萍 |
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| 作者单位： | 曲靖师范高等专科学校数学系!云南曲靖655000 |
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| 摘 要： | 本文应用Leray-Schauder不动点定理，结合运用Liapunov函数，研究了一类三阶非线性微分方程概周期解的存在性，得到了存在概周期解的充分条件．
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| 关 键 词： | 非线性方程 Liapunov函数 Leray－Schauder不动点定理 概周期解 |
Research of the Almost Periodic Solution for a Class of Third Order Nonlinear Differential Equations |
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| Liu Jun, Cui Ping.Research of the Almost Periodic Solution for a Class of Third Order Nonlinear Differential Equations[J].Journal of Qujing Normal College,2000(3). |
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| Authors: | Liu Jun Cui Ping |
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| Abstract: | In this paper, the existence of almost periodic solutions for a class of third order nonlinear differential equation are studied by using the Leray - Schauder fixed point theorem and the method of Liapunov funchon. We obtain the scfficient conditions which guarantee the existence of the almost periodic solutions. |
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| Keywords: | nonlinear differential equation Liapunov function Leray-Schauder fixed point theorem almost periodic solution |
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