| 二阶变系数线性微分方程与Riccati方程的关系 |
| |
| 引用本文： | 胡劲松.二阶变系数线性微分方程与Riccati方程的关系[J].大学数学,2009,25(1). |
| |
| 作者姓名： | 胡劲松 |
| |
| 作者单位： | 西华大学,数学系,四川,成都,610039 |
| |
| 摘 要： | 揭示了二阶变系数线性微分方程和Riccati方程之间的内在联系,证明了在对这两类方程求解时可以相互转化,从而对二阶变系数线性微分方程和Riccati方程的求解提供更多的思路和途径..
|
| 关 键 词： | 二阶变系数线性微分方程 Riccati方程 转化 |
The Relation between the Various Coefficient Linear Differential Equation of Order 2 and Riccati Equation |
| |
| HU Jin-song.The Relation between the Various Coefficient Linear Differential Equation of Order 2 and Riccati Equation[J].College Mathematics,2009,25(1). |
| |
| Authors: | HU Jin-song |
| |
| Institution: | Dep. of Mathematics;Xihua University;Chengdu 610039;China |
| |
| Abstract: | The intrinsic relation between the various coefficient linear differential equation of order 2 and Riccati equation is presented. It proves that the solvents of them can be transformed each other and provides more ideas and ways for solving the various coefficient linear differential equation of order 2 and Riccati equation. |
| |
| Keywords: | the various coefficient linear differential equation of order 2 Riccati equation transform |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
