| Newton方程周期解存在唯一性的新证明 |
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| 引用本文： | 李维国,张丹青.Newton方程周期解存在唯一性的新证明[J].高校应用数学学报(A辑),1998,13(3):241-248. |
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| 作者姓名： | 李维国 张丹青 |
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| 作者单位： | [1]南京大学数学系 [2]石油大学应用数学系 |
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| 摘 要： | 本文首先将Newton方程周期边值问题转化为初值问题，然后在较弱的条件下利用微分连续法构造性地证明了该方程周期解的存在唯一性．证明方法同时也提供了一种计算该周期解的大范围收敛方法．
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| 关 键 词： | 周期解 微分连续法 Newton方程 |
A NEW PROOF ON UNIQUE EXISTENCE OF THE PERIODIC SOLUTION OF NEWTON EQUATION |
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| Li Weiguo.A NEW PROOF ON UNIQUE EXISTENCE OF THE PERIODIC SOLUTION OF NEWTON EQUATION[J].Applied Mathematics A Journal of Chinese Universities,1998,13(3):241-248. |
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| Authors: | Li Weiguo |
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| Abstract: | In this paper, the periodic boundary value problem of Newton equation is translated into an initial value problem, and with the use of the continuation method, the constructive proof of the existence and uniqueness of this problem is presented under a weaker condition. Meanwhile, the proof provides a global method for approximating the periodic solutions of Newton equation. |
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| Keywords: | Periodic Solution Continuation Method Newton Equation |
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