二阶复合型非齐次线性常微分方程边值问题的求解  

The Solution of the Boundary Value Problem of the Second-Order Composite Non-Homogeneous Linear Ordinary Differential Equation

作　　者：曾峥 董晓旭 彭钰 梁滢 王玉 

机构地区：[1]西华大学理学院,四川 成都

出　　处：《理论数学》2024年第2期569-575,共7页Pure Mathematics

摘　　要：本文针对二阶复合型非齐次线性微分方程的边值问题进行研究。相似构造法通常用于求解二阶齐次线性微分方程的边值问题,本文将相似构造法应用于求解二阶复合型非齐次线性微分方程的边值问题。该方法是求解一般复合型二阶线性微分方程边值问题的一种方便、有效、有创新性的方法。本文的研究扩充了相似构造法的应用范围。In this paper, the boundary value problem of second-order composite non-homogeneous linear differential equation is studied. The similarity construction method is usually used to solve the boundary value problem of second-order homogeneous linear differential equations. In this paper, the similarity construction method is applied to solve the boundary value problem of second-order composite non-homogeneous linear differential equations. This method is a convenient, effective and innovative method for solving the boundary value problem of general second-order linear dif-ferential equations. The research in this paper expands the application range of similar construc-tion method.

关 键 词：边值问题 双区复合微分方程 相似核函数 引解函数 

分 类 号：O17[理学—数学]