| Riccati微分方程特解新求法的研究 |
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| 引用本文： | 王明建. Riccati微分方程特解新求法的研究[J]. 数学的实践与认识, 2006, 36(7): 382-386 |
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| 作者姓名： | 王明建 |
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| 作者单位： | 郑州师范高等专科学校数学系,河南,郑州,450044 |
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| 基金项目： | 河南省教育科学规划项目 |
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| 摘 要： | 通过对一般Riccati方程进行初等变换,使之变为特殊的Riccati方程,然后利用公式、观察实验,或利用二阶微分方程的特解,或利用一阶微分方程组的特解等方法,求得这些Riccati方程的特解.
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| 关 键 词： | Riccati方程 初等变换 二阶微分方程 一阶微分方程组 特解 |
| 修稿时间： | 2005-06-19 |
New Methods of Research on Some Riccati Equations Special Solution |
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| WANG Ming-jian. New Methods of Research on Some Riccati Equations Special Solution[J]. Mathematics in Practice and Theory, 2006, 36(7): 382-386 |
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| Authors: | WANG Ming-jian |
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| Abstract: | In this paper,We make an elementary transfomation to some special Riccati equations,get the second order differential equation or first order differential equations,after that get the special solution of the Riccati equation with the help of special solution of the second order differential equation or first order differential equations,or formula method and observation trial method. |
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| Keywords: | Riccati equation elementary transformation second order differential equation first order differential equations special solution |
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