| Hill方程周期解的摄动解法 |
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| 引用本文： | 邵孝湟.Hill方程周期解的摄动解法[J].杭州师范学院学报(社会科学版),1989(3). |
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| 作者姓名： | 邵孝湟 |
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| 作者单位： | 杭州师范学院数学系 |
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| 摘 要： | 本文研究一类含小参数的Hill方程的初值问题,利用边值问题可解性条件及摄动理论中的伸缩参数法,给出寻求该初值问题近似周期解的方法,并以Mathieu方程为例,作了具体计算。
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| 关 键 词： | 可解性条件 边值问题 周期解 特征值 伸缩参数法 |
THE PERIODIC SOLUTION OF THE HILL EQUATION BY THE PERTURBATION METHOD |
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| Shao Xiaohuang.THE PERIODIC SOLUTION OF THE HILL EQUATION BY THE PERTURBATION METHOD[J].Journal of Hangzhou Teachers College(Humanities and Social Sciences),1989(3). |
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| Authors: | Shao Xiaohuang |
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| Institution: | Department of mathematics |
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| Abstract: | In this paper, we consider the initial value problem of Hill equation having a small parameter. Using the solvable conditions of the boundary problem and the stretched parameter method in the perturbation techniques, we present the method which can be applied to obtain asymptotic periodic solution of the initial value problem. As an example, we consider Mathieu equation and give its computational result. |
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| Keywords: | solvable condition boundary value problem periodic solution characturistic value stretched parameter method |
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