| ON THE ITERATED ORDER OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS |
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| 引用本文： | Cao Tingbin (Dept. of Math.,Shandong University,Jinan 250100) Chen Zongxuan Zheng Xiumin Tu Jin (Dept. of Math.,Jiangxi Normal University,Nanchang 330027). ON THE ITERATED ORDER OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J]. Annals of Differential Equations, 2005, 21(2): 111-122 |
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| 作者姓名： | Cao Tingbin (Dept. of Math. Shandong University Jinan 250100) Chen Zongxuan Zheng Xiumin Tu Jin (Dept. of Math. Jiangxi Normal University Nanchang 330027) |
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| 作者单位： | Cao Tingbin (Dept. of Math.，Shandong University，Jinan 250100) Chen Zongxuan Zheng Xiumin Tu Jin (Dept. of Math.，Jiangxi Normal University，Nanchang 330027) |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China (No.10161006)the Natural Science Foundation of Jiangxi Province (No.0311043). |
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| 摘 要： | In this paper, we investigate complex homogeneous and non-homogeneous higher order linear differential equations with meromorphic coefficients. We obtain several results concerning the iterated order of meromorphic solutions, and the iterated convergence exponent of the zeros of meromorphic solutions.
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| 关 键 词： | 线性微分方程 亚纯函数 迭代序列 迭代收敛指数 |
ON THE ITERATED ORDER OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS |
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| CaoTingbin ChenZongxuan ZhengXiumin TuJin. ON THE ITERATED ORDER OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J]. 微分方程年刊(英文版), 2005, 21(2): 111-122 |
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| Authors: | CaoTingbin ChenZongxuan ZhengXiumin TuJin |
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| Affiliation: | [1]Dept.ofMath.,JiangxiNormalUniversity,Nanchang330027 [2]Dept.ofMath.,ShandongUniversity,Jinan250100 |
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| Abstract: | In this paper, we investigate complex homogeneous and non-homogeneous higher order linear differential equations with meromorphic coefficients. We obtain several results concerning the iterated order of meromorphic solutions, and the iterated convergence exponent of the zeros of meromorphic solutions. |
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| Keywords: | linear differential equation meromorphic function iterated order iterated convergence exponent |
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