| 二阶非线性微分方程的周期边值问题 |
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| 引用本文： | 俞元洪,陈文灯.二阶非线性微分方程的周期边值问题[J].中国科学院研究生院学报,1994(1). |
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| 作者姓名： | 俞元洪 陈文灯 |
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| 作者单位： | 中国科学院应用数学研究所，中央财政金融学院 |
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| 摘 要： | 本文考虑一个二阶非线性微分方程，它是作为卫星绕着椭圆轨道作周期运动的模型而提出的。我们用初等方法证明了奇周期解的存在性，并且扩大了过去文献中给出的参数范围。
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| 关 键 词： | 周期边值问题，卫星的周期运动，椭圆轨道 |
On a Periodic Boundary Value Problem of NonlinearDifferential Equations of Second Order |
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| Yu Yuanhong, Chen Wendeng.On a Periodic Boundary Value Problem of NonlinearDifferential Equations of Second Order[J].Journal of the Graduate School of the Chinese Academy of Sciences,1994(1). |
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| Authors: | Yu Yuanhong Chen Wendeng |
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| Abstract: | in this note we consider a nonlinear differential equation of second order which has been proposed as a model for the periodic motion of a satellite in its elliptical orbit. We use some elementary methods to demonstrate the existence of an odd periodic solution for a considerably larger parameter set than considered earlier. |
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| Keywords: | periodic boundary value problem the periodic motion of n satellite elliptical orbit |
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