理论数学

Vol.2 No.1 (January 2012)

二阶齐次线性微分方程解的相似结构
The Similar Structure of Solutions of Second-Order Li-near Homogeneous Differential Equation

 

作者:

王俊超 , 李顺初

 

关键词:

二阶齐次线性微分方程边值问题相似结构相似核函数Second-Order Linear Homogeneous Differential Equation Boundary-Value Problem Similar Structure Kernel Function

 

摘要:

本文针对二阶线性齐次微分方程的线性非齐次边值问题,通过对其解式的分析和简化,获得了解式的相似结构;提出了一种由一个基本边值问题的解去构造出较为复杂边值问题的解的一种新方法,有利于解决相应的应用问题。

The solution’s formal similarity is gained by reducing the analytical expression of linear non-homogeneous boundary-value problems for second-order linear homogeneous differential equations, a new me- thod is provided to construct solution of equation with complex boundary conditions by employing simple boundary conditions.

文章引用:

王俊超 , 李顺初 (2012) 二阶齐次线性微分方程解的相似结构。 理论数学, 2, 23-27. doi: 10.12677/pm.2012.21005

 

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