| 一阶常微分方程积分因子存在性条件 |
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| 引用本文： | 张海,谢秀娟. 一阶常微分方程积分因子存在性条件[J]. 安庆师范学院学报(自然科学版), 2009, 15(4): 82-84 |
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| 作者姓名： | 张海 谢秀娟 |
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| 作者单位： | 安庆师范学院,数学与计算科学学院,安徽,安庆,246133;安庆师范学院,数学与计算科学学院,安徽,安庆,246133 |
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| 基金项目： | 安徽省教育厅自然科学研究基金项目 |
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| 摘 要： | 在讨论一阶常微分方程积分因子存在性条件的基础上,给出了一阶常微分方程各类积分存在的充要条件,并用实例证明了所得结果的有效性和实用性。
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| 关 键 词： | 恰当微分方程 积分因子 充要条件 |
Existence Conditions of Integrating Factors for First Order Ordinary Differential Equations |
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| ZHANG Hai,XIE Xiu-juan. Existence Conditions of Integrating Factors for First Order Ordinary Differential Equations[J]. Journal of Anqing Teachers College(Natural Science Edition), 2009, 15(4): 82-84 |
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| Authors: | ZHANG Hai XIE Xiu-juan |
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| Affiliation: | (School of Mathematics and Computational Science, Anqing Teachers College , Anqing 246133, China) |
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| Abstract: | In this paper,the existence conditions of integrating factors for first order ordinary differential equations are discussed.We give necessary and sufficient conditions of existence of all kinds of integrating factors for first order ordinary differential equations,and examples illustrate validity and practicability of obtained results. |
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| Keywords: | exact differential equation integrating factor sufficient and necessary condition |
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