| 广义一阶常微分方程可积条件及其应用 |
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| 引用本文： | 冯录祥. 广义一阶常微分方程可积条件及其应用[J]. 云南师范大学学报(自然科学版), 2013, 0(4): 25-28 |
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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（2010JK400）;宝鸡文理学院科研资助项目（ZK1014）. |
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| 摘 要： | 给出了广义一阶常微分方程可积条件及其参数形式的通解公式。指出一阶微分方程的一些经典的可积类型都是此结果的特例,特别是著名的Riccati方程和Abel方程的一些近现代可积性结果也是它的特例.
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| 关 键 词： | 常微分方程 可积性 参数解 Riccati方程 Abel方程 |
Integrability Condition and Its Generalized Ordinary Application of the First Order Differential Equation |
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| FENG Lu-xiang. Integrability Condition and Its Generalized Ordinary Application of the First Order Differential Equation[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2013, 0(4): 25-28 |
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| Authors: | FENG Lu-xiang |
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| Affiliation: | FENG Lu-xiang (Department of Mathematics, Baoji University of Arts and Science, Baoji 7 21013, China) |
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| Abstract: | Integrability conditions and general solution formulas in parameter form are given for the First Order Generalized Ordinary Differential Equation. Some classical integrable types of first order differential equation are pointed as particular cases of these results, and some modern integrable outcomes of the well--known Abel equation and Riccati equation are their specific examples. |
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| Keywords: | Ordinary differential equation Integrability Parameter solution Abel equation Riccati equatton |
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