| 两类新的Abel型微分方程的可积判据 |
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| 引用本文： | 冯丽珠,汤光宋.两类新的Abel型微分方程的可积判据[J].临沂师范学院学报,2006,28(3):1-4. |
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| 作者姓名： | 冯丽珠 汤光宋 |
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| 作者单位： | 江汉大学,数学与计算机科学学院,武汉,430056 |
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| 摘 要： | 借助变量替换法、交换变量位置法及复合函数求导法则,构造出两类新的Abel型微分方程,论证它们的可积性,提供可积的判据,从而推广有关文献的结论,扩大微分方程的可积范围．
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| 关 键 词： | Abel型微分方程 变量替换法 变换变量位置法 复合函数求导法则 可积判据 通积分 |
| 文章编号： | 1009-6051（2006）03-0001-04 |
| 收稿时间： | 2006-04-03 |
| 修稿时间： | 2006年4月3日 |
Two Types of New Integral Criterion on Abel Differential Equation |
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| FENG Li-zhu,TANG Guang-song.Two Types of New Integral Criterion on Abel Differential Equation[J].Journal of Linyi Teachers' College,2006,28(3):1-4. |
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| Authors: | FENG Li-zhu TANG Guang-song |
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| Institution: | School of Mathematics and Computer, Jianghan University,Wuhan 430056,China |
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| Abstract: | Two types of new Abel differential equation are structured by method of variation replacement, variation position transformation and compound function derivation law. Integral of them is proved , the criterion of the integrable differential equation is given. It extends conclusion in relevant documents, and extends the range of integrable differential equation. |
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| Keywords: | Abel differential equation method of variation replacement method of variation position transformation compound function derivation law integrable criterion general integral |
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