四川大学学报（自然科学版）2012，Vol.49Issue(6)：1209-1213,5.DOI:10.3969/j.issn.0490-6756.2012.06.008
由任一非零特解构造复合微分方程边值问题的解
Constructing the solution of boundary value problem of the differential equation with it's a arbitrary non-trivial solution
摘要
Abstract
Based on the analysis of the solutions for a boundary value problem of the second-order 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. As a matter of fact, the similar kernel function be constructed by the arbitrary non-trivial solution of definite equation and the coefficient of right boundary condition firstly, the similar structure formula is determined by left boundary condition secondly, and then the particular solution can be obtained. Consequently, this method are an innovative idea and a simple effective method of solving the boundary value problem of the differential equation and when used in practical engineering science also.关键词
二阶线性齐次微分方程/边值问题/相似结构/相似核函数/相似构造法Key words
second-order linear homogeneous differential equation, boundary value problem, similar structure, similar kernel function, similar constructive method (2000 MSC 34A12)分类
数理科学引用本文复制引用
李顺初,廖智健..由任一非零特解构造复合微分方程边值问题的解[J].四川大学学报（自然科学版）,2012,49(6):1209-1213,5.基金项目
四川省教育厅自然科学重点项目(12ZA164) （12ZA164）
