| 一个非线性微分方程的周期边值问题 |
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| 引用本文： | 李林,俞元洪. 一个非线性微分方程的周期边值问题[J]. 数学研究及应用, 2000, 20(2): 248-250 |
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| 作者姓名： | 李林 俞元洪 |
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| 作者单位： | 1. 北京石油化工学院基础部,102600
2. 北京文登学校科研所,100081 |
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| 基金项目： | 国家自然科学基金资助项目(19871090) |
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| 摘 要： | 本文考虑作为卫星绕椭圆轨道作周期运动模型的一个二阶非线性微分方程的周期边值问题.用迭代方法证明了奇函数周期解的存在性,并且扩大了文[3]中给出的参数范围.
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| 关 键 词： | 边值问题 周期运动 绕椭圆轨道. |
| 文章编号： | 1000-341(2000)02-0248-03 |
| 修稿时间： | 1997-02-03 |
On a Periodic Boundary Value Problem of a Nonlinear Differential Equation |
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| LI Lin and YU Yuan-hong. On a Periodic Boundary Value Problem of a Nonlinear Differential Equation[J]. Journal of Mathematical Research with Applications, 2000, 20(2): 248-250 |
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| Authors: | LI Lin and YU Yuan-hong |
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| Affiliation: | Beijing Institute of Petrochemical Technology 102600;Institute of Science; Beijing Wendeng School; 100081 |
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| Abstract: | 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 elliptic 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: | boundary value problem periodic motion elliptic orbit satellite. |
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