用变分迭代方法求解自变量分段连续型微分方程  

Variational Iteration Method for Differential Equation with Piecewise Continuous Arguments

作　　者：汪圣祥 金朝永[1] 陈玲[1] WANG Shengxiang;JIN Chaoyong;CHEN Ling(School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510520,Guangdong,China)

机构地区：[1]广东工业大学应用数学学院,广东广州510520

出　　处：《汕头大学学报（自然科学版）》2017年第2期18-25,共8页Journal of Shantou University：Natural Science Edition

摘　　要：本文主要利用变分迭代方法求解自变量分段连续型延迟微分方程,得到的变分迭代解收敛于真实解,由此得到了变分迭代法也可以作为求解向前型EPCA方程的一种有效方法.In this paper, the use of variational iteration method for solving piecewise continuous delay differential equation is proposed. Moreover, the analytical approximation solutions in different intervals are given and the convergence is proved. Finally, variational iteration method can also be used as an effective method for solving equations of forward-EPCA.

关 键 词：变分迭代法 延迟微分方程 拉氏乘子 限制变分 

分 类 号：O175[理学—数学]