| 一类Riccati方程的可积性条件及通积分 |
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| 引用本文： | 冯录祥. 一类Riccati方程的可积性条件及通积分[J]. 陕西理工学院学报(自然科学版), 2011, 27(1): 91-94 |
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| 作者姓名： | 冯录祥 |
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| 作者单位： | 宝鸡文理学院数学系,陕西,宝鸡,721013 |
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| 基金项目： | 宝鸡文理学院科研资助项目 |
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| 摘 要： | 利用变量变换的方法,得到了一类Riccati方程的一个新的可积性条件及其在这些条件下的通积分。此结果包含了已有文献中有关Riccati方程可积性的一大批结论。
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| 关 键 词： | Riccati方程 可积性条件 通积分 |
A class of Riccati equation in condition and general integral |
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| FENG Lu-xiang. A class of Riccati equation in condition and general integral[J]. Journal of Shananxi University of Technology(Natural Science Edition), 2011, 27(1): 91-94 |
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| Authors: | FENG Lu-xiang |
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| Affiliation: | FENG Lu-xiang(Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,China) |
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| Abstract: | By adapting the method of variable transformations,a new integral condition and its generalization of Riccati differential equation were obtained.and some conclusions about integrability of Riccati differential equation published in the past were also discussed. |
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| Keywords: | Riccati differential equation integral conditions general integral |
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