| 关于亚纯系数非齐次线性微分方程的复振荡 |
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| 引用本文： | 徐建新. 关于亚纯系数非齐次线性微分方程的复振荡[J]. 江西师范大学学报(自然科学版), 1994, 18(4): 351-356 |
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| 作者姓名： | 徐建新 |
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| 作者单位： | 江西广播电视大学!南昌330046 |
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| 摘 要： | 本文讨论了当A(z)为有理函数;B(z)为亚纯函数时,二阶非齐次线性微分方程f"十Af=B的亚纯函数解f(z)的复振荡问题,得到在一定条件下,方程解的零点与极点的收敛指数的估计
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| 关 键 词： | 半纯函数 复振荡 非齐次方程 线性 微分方程 |
On the Complex Oscillation of Non-homogeneous LinearDifferntial Equations with Meromorphic Coefficients |
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| Xu Jianxin. On the Complex Oscillation of Non-homogeneous LinearDifferntial Equations with Meromorphic Coefficients[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 1994, 18(4): 351-356 |
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| Authors: | Xu Jianxin |
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| Abstract: | :In this paper, we have investigated the complex oscillation of the equationwhere A(z)is a ration function, B(z) is a meromorphic function, and obtained general estimate of the expo-nent of convergence of the zero sequence and pole sequence of solutions for above equation. |
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| Keywords: | :nonhomogeneous linear differential equations meromorphic function order of grouth com-plex iscillation exponene of convergence |
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