The Generalized Emden-Fowler Equation
The Generalized Emden-Fowler Equation
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发表时间：
1997
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通讯作者：
L. Berkovich
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作者：
L. Berkovich
给出了具有可约线性部分的n阶非线性非自治常微分方程解的描述。对这类广义Emden-Fowler方程进行了群分类。我们发现了f(X)的这样的变化规律，使得方程允许一个、两个或三个单参数李群。
We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations of the mentioned class is done. We have found such laws of the variation of f (x) that the equation admits one, two, or tree one-parameter Lie groups.