线性方程组的边值问题的摄动解  

The Perturbed Solution of Boundary Value Problem For Linear Equations

作　　者：王莉[1] 

机构地区：[1]中北大学数学系,山西太原030051

出　　处：《太原师范学院学报（自然科学版）》2014年第2期12-14,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：主要考察依赖于小参数的线性方程组的边值问题的摄动解,总结出几种常见的方程组类型,通过变形和代换,将其转化成含小参数的线性方程,进而可以使用各种摄动方法,如正则摄动法,WKB方法得到它们的通解.The perturbed solution of boundary value problem for linear equations,which contain a small parameter is investigated.Specifically,this paper present several common equations models.After a series of deformation,we can get linear equation with a small parameter.Thereby,we can use a variety of perturbation methods,such as regular perturbation method,WKB method to gettheir general solution.

关 键 词：线性方程组 正则摄动方法 WKB方法 

分 类 号：O175.4[理学—数学]