| 复域上阿贝尔方程可积条件初步 |
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| 引用本文： | 周大勇,孙建梅.复域上阿贝尔方程可积条件初步[J].大连铁道学院学报,2009(1):94-97. |
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| 作者姓名： | 周大勇 孙建梅 |
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| 作者单位： | 大连交通大学理学院;东软信息学院计算机科学与技术系; |
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| 摘 要： | 判定微分方程是否可积或求其精确解是微分方程理论中最重要和最基本的问题之一。利用变换群的理论方法，将复域上的阿贝尔方程转化为可分离变量方程或Bernoulli方程，进而得到了一组较为适用的判定条件。
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| 关 键 词： | 阿贝尔方程 复域 线性变换 可积性 |
Primary Study of Integrable Condition to Abel Equation in Complex Domain |
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| ZHOU Da-yong,SUN Jian-mei.Primary Study of Integrable Condition to Abel Equation in Complex Domain[J].Journal of Dalian Railway Institute,2009(1):94-97. |
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| Authors: | ZHOU Da-yong SUN Jian-mei |
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| Institution: | ZHOU Da-yong1,SUN Jian-mei2(1.School of Mathematics , Physics,Dalian Jiaotong University,Dalian 116028,China,2.Dept.of Computer Science,Neusoft Institute of Information,Dalian 116023,China) |
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| Abstract: | The determination of differential equation integrablity or its accuate solution is the most important and primary problem.The Abel equation integrability in complex domain is analyzed.By means of transformation group theory,the Abel equation can be alternated into separable equation or Bernoulli equation.Furthermore,some ordinary integrable conditions are obtained for the abel equation. |
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| Keywords: | abel equation complex domain linear transforms integrability |
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