| 关于常系数线性齐次微分方程解的级数表示式 |
| |
| 引用本文： | 李中,李伟勋.关于常系数线性齐次微分方程解的级数表示式[J].茂名学院学报,2010,20(6):69-70. |
| |
| 作者姓名： | 李中 李伟勋 |
| |
| 作者单位： | 广东石油化工学院理学院,广东茂名525000 |
| |
| 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.
|
| 关 键 词： | 常系数 线性齐次微分方程 递推关系 解的级数表示 |
On the Series Representation for Solutions of Homogeneous Linear Ordinary Differential Equations with Constant Coefficients |
| |
| LI Zhong,LI Wei-xun.On the Series Representation for Solutions of Homogeneous Linear Ordinary Differential Equations with Constant Coefficients[J].Journal of Maoming College,2010,20(6):69-70. |
| |
| Authors: | LI Zhong LI Wei-xun |
| |
| Institution: | (College of Science,Guangdong University of Petrochemical Technology,Maoming 525000,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | constant coefficients homogeneous linear ordinary differential equation recurrence relation series representation for solution |
| 本文献已被 维普 万方数据 等数据库收录！ |
