一类时滞Duffing型方程周期解的存在唯一性及数值解法  

Existence and Uniqueness of Periodic Solution of a Type of Delay Duffing Equations with a Numerical Solution Method

作　　者：林福荣[1] 杨丽伟[1] 

机构地区：[1]汕头大学理学院数学系,广东汕头515063

出　　处：《汕头大学学报（自然科学版）》2008年第3期14-19,共6页Journal of Shantou University：Natural Science Edition

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.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.

关 键 词：DUFFING方程 周期解 存在唯一性 牛顿法 

分 类 号：O221.1[理学—运筹学与控制论]