| 一类广义Riccati型方程及其可积性判据的推广 |
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| 引用本文： | 冯录祥. 一类广义Riccati型方程及其可积性判据的推广[J]. 海南大学学报(自然科学版), 2013, 31(1): 8-11 |
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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： | 陕西省教育厅科研计划项目，宝鸡文理学院科研资助项目 |
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| 摘 要： | 通过变量变换的方法，把一类广义Riccati型方程及其可积性判据加以推广，并充分利用有关参数的可变性揭示该结果与现有Riccati方程可积性间的关系，扩大了Riccati方程的可积性范围．
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| 关 键 词： | 广义Riccati型方程 可积判据 通解 |
A New Generalized Riccati-type Equation and the Spread of its Integrability Criterion |
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| FENG Lu-xiang. A New Generalized Riccati-type Equation and the Spread of its Integrability Criterion[J]. Natural Science Journal of Hainan University, 2013, 31(1): 8-11 |
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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: | The variable transformation method was used to spread the generalized Riccati-type Equation and its integrability criterion. And the variability of the parameters was used to elucidate the relationship between the re-sults and some known ones, which extended the integrability range of the Riccati-type Equation. |
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| Keywords: | generalized Riccati-type Equation integrability criterion general solution |
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