| 一类时滞Duffing型方程周期解的存在唯一性及数值解法 |
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| 引用本文： | 林福荣,杨丽伟. 一类时滞Duffing型方程周期解的存在唯一性及数值解法[J]. 汕头大学学报(自然科学版), 2008, 23(3): 14-19 |
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| 作者姓名： | 林福荣 杨丽伟 |
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| 作者单位： | 汕头大学理学院数学系,广东,汕头,515063 |
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| 摘 要： | 给出并证明了一类时滞Duffing型方程的周期解存在唯一的一个充分条件.讨论了其周期解的数值解法:利用数值微分和线性插值对微分方程进行离散,得到非线性方程组,再用牛顿法求解.实例分析说明了该方法的有效性.
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| 关 键 词： | Duffing方程 周期解 存在唯一性 牛顿法 |
Existence and Uniqueness of Periodic Solution of a Type of Delay Duffing Equations with a Numerical Solution Method |
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| LIN Fu-rong,YANG Li-wei. Existence and Uniqueness of Periodic Solution of a Type of Delay Duffing Equations with a Numerical Solution Method[J]. Journal of Shantou University(Natural Science Edition), 2008, 23(3): 14-19 |
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| Authors: | LIN Fu-rong YANG Li-wei |
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| Affiliation: | (Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China) |
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| Abstract: | This existence and uniqueness of periodic solution of a type of delay Duffing differential equation is considered and numerical solution method for the periodic solution is discussed. The contents of the paper are as follows. （1） A sufficient condition is given for the existence and uniqueness of the periodic solution. （2） Numerical solution methods for the periodic solution are discussed. Numerical differential, linear interpolation and Newton iteration methods are used in the numerical solution. |
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| Keywords: | During equation periodic solution existence and uniqueness Newtonmethod |
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