关于常系数线性齐次微分方程解的级数表示式  

On the Series Representation for Solutions of Homogeneous Linear Ordinary Differential Equations with Constant Coefficients

作　　者：李中[1] 李伟勋[1] 

机构地区：[1]广东石油化工学院理学院,广东茂名525000

出　　处：《广东石油化工学院学报》2010年第6期69-70,共2页Journal of Guangdong University of Petrochemical Technology

摘　　要：常系数线性齐次微分方程是一类基本而又重要的微分方程,它在数学理论和应用方面都有重要的意义.给出了常系数线性齐次微分方程解的仅与系数和初始值有关的级数表示式.Homogeneous linear ordinary differential equations with constant coefficients is a basic and important differential equation,significant for the mathematical theory and applications.In this paper we give the series representation for solutions of homogeneous linear ordinary differential equations with constant coefficients which only depends on the coefficients and the initial values.

关 键 词：常系数 线性齐次微分方程 递推关系 解的级数表示 

分 类 号：O175[理学—数学]