| 利用Prüfer变换求解微分方程 |
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| 引用本文： | 许孟.利用Prüfer变换求解微分方程[J].数学学习,2011(4):67-69. |
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| 作者姓名： | 许孟 |
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| 作者单位： | 南京理工大学应用数学系,江苏南京210094 |
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| 基金项目： | 南京理工大学教改立项课题（AB92240）. |
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| 摘 要： | 针对一类二阶非线性常微分方程,利用Prüfer变换将其约化为特殊的一阶常微分方程组,从而使其求解过程得以简化.实例说明应用Prüfer变换求解一类偏微分方程边值问题的技巧.
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| 关 键 词： | Prüfer变换 微分方程 相平面 |
Solving Differential Equations with Priifer Transformation |
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| XU Meng.Solving Differential Equations with Priifer Transformation[J].Studies In College Mathematics,2011(4):67-69. |
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| Authors: | XU Meng |
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| Institution: | XU Meng (Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, PRC) |
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| Abstract: | With Prtufer transformation, some second-order nonlinear ordinary differential equations can be reduced to a specific system of first-order ordinary differential equations, and therefore be solved easily. Examples for boundary value problems of partial differential equations are given to show the steps and techniques of using Priifer transformation. |
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| Keywords: | Prtifer transformation differential equations phase plane |
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