复合型微分方程的边值问题的相似构造解法  

The Similarity Structuring Method of Boundary Value Problems for Composite Differential Equations

作　　者：李顺初[1] 

机构地区：[1]西华大学应用数学研究所,四川成都610039

出　　处：《西华大学学报（自然科学版）》2013年第4期27-31,共5页Journal of Xihua University:Natural Science Edition

基　　金：四川省教育厅自然科学重点项目(12ZA164)

摘　　要：基于对二阶复合型线性齐次微分方程的一类边值问题的解的分析,研究了解式的相似结构和相似核函数,并提出了一种求解该类边值问题的新方法——相似构造法。该法是求解该类复合型微分方程的边值问题和在实际工程应用中既简洁又行之有效的构造性方法。Based on the analysis of the solutions for a boundary value problem of second-order composite linear homogeneous differential equation,this paper studied the similar structure and the similar kernel functions of the solutions and put forward a new method of solving this class boundary value problem： the similar constructive method.This was a constructive method,an innovative idea and a simple effective method for solving the boundary value problem of composite differential equation and it could be used in practical engineering science also

关 键 词：二阶复合型线性齐次微分方程 边值问题 特解 相似结构 相似核函数 相似构造法 

分 类 号：O175[理学—数学]