| ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATION |
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| 引用本文： | Kang Yueming (Institute of Math.,Fudan University,Shanghai 200433) Chen Zongxuan (Dept. of Math.,South China Normal University,Guangzhou 510631) Cheng Tao (Dept. of Math.,Jiangxi Normal University,Nanchang 330027). ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATION[J]. Annals of Differential Equations, 2007, 23(1): 35-44 |
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| 作者姓名： | Kang Yueming (Institute of Math. Fudan University Shanghai 200433) Chen Zongxuan (Dept. of Math. South China Normal University Guangzhou 510631) Cheng Tao (Dept. of Math. Jiangxi Normal University Nanchang 330027) |
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| 作者单位： | Kang Yueming (Institute of Math.，Fudan University，Shanghai 200433) Chen Zongxuan (Dept. of Math.，South China Normal University，Guangzhou 510631) Cheng Tao (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.10571028)，the Ph.D. Programs Foundation of Higher Education of China (No.20050574002)，the Natural Science Foundation of Guangdong Province (No.06025059). |
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| 摘 要： | In this paper, a class of higher order linear differential equation is investigated. The order and the hyper-order of the solutions of the equation are exactly estimated under some certain conditions.
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| 关 键 词： | 高阶微分方程 线性微分方程 解 增长级 整函数 |
ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATION |
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| Kang Yueming Chen Zongxuan Cheng Tao. ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATION[J]. 微分方程年刊(英文版), 2007, 23(1): 35-44 |
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| Authors: | Kang Yueming Chen Zongxuan Cheng Tao |
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| Affiliation: | [1]Institute of Math., Fudan University, Shanghai 200433 [2]Depl of Math., South China Normal University, Guangzhou 510631 [3]Dept. of Math., Jiangxi Normal University, Nanchang 330027 |
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| Abstract: | In this paper, a class of higher order linear differential equation is investigated. The order and the hyper-order of the solutions of the equation are exactly estimated under some certain conditions. |
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| Keywords: | linear differential equation the growth of order hyper-order entire function |
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