| On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients |
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| 作者姓名： | Zong Xuan CHEN Kwang Ho SHON |
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| 作者单位： | [1]Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China [2]Department of Mathematics, College of Natural Sciences, Pusan National University, Pusan 609-735, Korea |
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| 基金项目： | The work is supported by the National Natural Science Foundation of China （No.10161006） and the Natural Science Foundation of Guangdong Province in China （No.04010360）, and the Brain Pool Program of the Korean Federation of Science and Technology Societies （No.021-1-9） |
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| 摘 要： |
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| 关 键 词： | 二阶微分方程 亚纯系数 固定点 收敛性 |
| 收稿时间： | 2002-09-30 |
| 修稿时间： | 2002-09-302003-06-19 |
On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients |
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| Zong Xuan CHEN Kwang Ho SHON.On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients[J].Acta Mathematica Sinica,2005,21(4):753-764. |
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| Authors: | Zong Xuan Chen Kwang Ho Shon |
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| Affiliation: | (1) Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China;(2) Department of Mathematics, College of Natural Sciences, Pusan National University, Pusan 609–735, Korea |
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| Abstract: | In this paper, we investigate the growth and fixed points of solutions and their 1st, 2nd derivatives, differential polynomial of second order linear differential equations with meromorphic coefficients, and obtain that the exponents of convergence of these fixed points are all equal to the order of growth. |
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| Keywords: | Differential equation Meromorphic function Order of growth Fixed point |
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