| 三类非线性常微分方程的可积定理 |
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| 引用本文： | 郑江琳 汤光宋. 三类非线性常微分方程的可积定理[J]. 山东轻工业学院学报, 1997, 11(1): 54-57 |
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| 作者姓名： | 郑江琳 汤光宋 |
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| 作者单位： | 江汉大学数学系 |
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| 摘 要： | 借助某类超越函数的积分公式，利用双变换，获得三类非线性常微分方程的可积定理，并给出了这几类方程的通积分的表达式，所得结论是相应文献结果的深化与拓广。
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| 关 键 词： | 非线性微分方程，积分方式，双变换，通积分 |
The Integral Formula of Three Kinds of Nonlinear differential Equations |
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| Zheng Jianglin Tang Guangsong. The Integral Formula of Three Kinds of Nonlinear differential Equations[J]. Journal of Shandong Institute of Light Industry(Natural Science Edition), 1997, 11(1): 54-57 |
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| Authors: | Zheng Jianglin Tang Guangsong |
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| Abstract: | Based on some kind of ultra functional integral formula and by the use of the double transformation,this paper attains the integral formula of three kinds of nonlinear differential equations and gives the reduction of integral to a common denominator of these equations.The conclusion drawn is the amplification of the results of relative references. |
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| Keywords: | nonlinear differential equation integral formula double transformation reduction of integral to a common denominator |
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