| 关于Abel方程和Riccati方程可积性的若干结果 |
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| 引用本文： | 马云苓.关于Abel方程和Riccati方程可积性的若干结果[J].商丘师范学院学报,2005,21(2):69-71. |
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| 作者姓名： | 马云苓 |
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| 作者单位： | 商丘师范学院,数学系,河南,商丘,476000 |
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| 摘 要： | 应用常数变易法，给出了Abel方程和Riccati方程一些新的可积条件，从而扩大了两类非线性微分方程的可积范围。改进并推广了已有结果．
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| 关 键 词： | 常数变易 Abel方程 Rieeati方程 可积 |
| 文章编号： | 1672-3600(2005)02-0069-03 |
| 修稿时间： | 2004年2月8日 |
Some new results of integrabality on the Abel equation and Riccati equation |
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| MA Yun-ling.Some new results of integrabality on the Abel equation and Riccati equation[J].Journal of Shangqiu Teachers College,2005,21(2):69-71. |
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| Authors: | MA Yun-ling |
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| Abstract: | In this paper,using the method of variation of constant,some new conditions of integrability on the Abel equation and Riccati equation are given.There for,the limits of integrability on two kinds of nonlinear differential equation are extended,some results known are improved and generalized. |
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| Keywords: | variation of constant Abel equation Riccati equation integrability |
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