再生核空间中求解一类非线性常微分方程的新方法(英文)  

New method for solving a class of nonlinear ordinary differential equation in reproducing kernel spaces

作　　者：林迎珍[1] 陈忠[1] 

机构地区：[1]哈尔滨工业大学(威海)数学系,山东威海264209

出　　处：《黑龙江大学自然科学学报》2007年第3期301-305,共5页Journal of Natural Science of Heilongjiang University

基　　金：Supported by National Natural Science Foundation of China(60572125);Harbin Institute of Technology(Weihai) (HIT(WH),Y200511)

摘　　要：讨论如何在再生核空间中求解一类非线性常微分方程.利用求解线性算子方程的方法,给出了这类方程的精确解的表示,另外还给出了求该方程近似解的最小二乘法.数值实验证明本方法是有效的.The problem of how to solve a class of nonlinear ordinary differential equations in reproducing kernel spaces is discussed. With the help of the discussion on how to solve linear operator equation, the exact solution is given. Besides, the least square method for solving the approximate solution of the equation is given. The final numerical experiment shows that our method is effective.

关 键 词：常微分方程 非线性 再生核 

分 类 号：O175.14[理学—数学]