| Riccati方程的几种可积类型及其通积分公式 |
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| 引用本文： | 段锋,张兰,杨芬.Riccati方程的几种可积类型及其通积分公式[J].中央民族大学学报(自然科学版),2014,23(3):10-13. |
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| 作者姓名： | 段锋 张兰 杨芬 |
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| 作者单位： | 常德职业技术学院,湖南常德,415000 |
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| 基金项目： | 湖南省教育厅科学研究项目 |
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| 摘 要： | 用初等变量代换的方法,讨论了可用分离变量法求解的Riccati方程的几种形式,得到了Riccati方程四个新的可积性判据,并给出了这四种情况的通积分公式.
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| 关 键 词： | Riccati方程 可积性判据 分离变量 通积分 |
A Series of Integrable Conditions of Riccati Equation and General Integral Fomula |
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| DUAN Feng,ZHANG Lan,YANG Fen.A Series of Integrable Conditions of Riccati Equation and General Integral Fomula[J].Journal of The Central University for Nationalities(Natural Sciences Edition),2014,23(3):10-13. |
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| Authors: | DUAN Feng ZHANG Lan YANG Fen |
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| Affiliation: | (Changde Vocational Technical college, Changde Hunan 415000, China) |
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| Abstract: | With the method of elementary variable substitution, the paper discusses some type of the Riccati equation that can be solved by separation of variables method. Four new integrable criterion of the Riccati equation and the corresponding general integral formula are obtained. |
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| Keywords: | Riccati equation criterion separation of variable general integral |
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