| 高阶变系数非线性常微分方程组的常系数线性化 |
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| 引用本文： | 汤光宋. 高阶变系数非线性常微分方程组的常系数线性化[J]. 西北民族学院学报, 1993, 0(1) |
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| 作者姓名： | 汤光宋 |
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| 作者单位： | 江汉大学数学系 |
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| 摘 要： | 给出了几类高阶变系数非线性常微分方程组,借助 Leibniz 公式的求导法则及变换组法,或再用自变量变换法,将其化为变系数线性方程组,然后化为常系数线性方程组,最后应用已知的方法,便可求出方程组的解的表达式,从而论证了方程组的可积性。所得结论是相应文献结果的推广。
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Constant Coefficient Linearization of Hyper-Stage Coefficient Nonlinear Constant Differential |
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| Abstract: | Some kinds of hyper-stage coefficient nonlinear constant differential equations were given and transformed into variable coefficient linear equations with aid of solution principle of Leibniz equation and transformation method or independent variable transformation.At the last, the author gained expression formula of equation solution,thereby its feasibility was proven. |
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