四阶线性微分方程的算子解法  

The operator solution of the fourth-order linear differential equation with varied coefficient

作　　者：孙法国[1] 任丽娜[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《西安工程大学学报》2009年第6期142-146,共5页Journal of Xi’an Polytechnic University

基　　金：国家自然科学基金项目资助(60674018)

摘　　要：通过算子代换引入特征方程的概念,将微分方程化为代数方程,得到了四阶线性微分方程可降阶的充要条件,并给出了求解对应方程通解的方法.The concept of the characteristic equation is given by the operator substitution.The necessary and sufficient condition of fourth-orderr linear differential equations which can be reduce degree is obtained by the method that the differential equations was translated into algebraic equations,and the mean of the corresponding equation′s general solution is given.

关 键 词：变系数 线性微分方程 算子解法 特征方程 

分 类 号：O175.1[理学—数学]