| 新的三类Abel型微分方程的求积定理 |
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| 引用本文： | 汤光宋,姜海轮. 新的三类Abel型微分方程的求积定理[J]. 邵阳学院学报(自然科学版), 2004, 1(4): 1-3 |
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| 作者姓名： | 汤光宋 姜海轮 |
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| 作者单位： | 江汉大学,数学与计算机科学学院,湖北,武汉,430056 |
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| 摘 要： | 借助变量替换法、交换变量位置法、高次二项式定理等方法，在一定条件下，给出新的三类Abel型微分方程，论证它们的可积性，并提供其通积分的表达式，扩充了微分方程的可积类型．
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| 关 键 词： | Abel方程 变量替换法 交换变量住 通积分 |
| 文章编号： | 1672-7010(2004)04-0001-03 |
| 修稿时间： | 2003-10-20 |
Integral Theorem of New There Types Abel-equations |
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| TANG Guang-song,JIANG Hai-lun Math.Dept. of Jianghan University,Wuhan,Hubei. Integral Theorem of New There Types Abel-equations[J]. Journal of Shaoyang University(Natural Science Edition), 2004, 1(4): 1-3 |
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| Authors: | TANG Guang-song JIANG Hai-lun Math.Dept. of Jianghan University Wuhan Hubei |
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| Affiliation: | TANG Guang-song,JIANG Hai-lun Math.Dept. of Jianghan University,Wuhan,Hubei 430019 |
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| Abstract: | This paper puts forth a class of first-order differential equrations, which can be transformed into Abel - equations by method of variable substitution. That their integral criteria and their expression of general integral can be given , Thus their scope of uses can be expanded. This type of equations are called a new type of abel-equations. |
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| Keywords: | Abel-equations method of variable substitution general integral |
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