| 一类亚纯系数微分方程解的增长性 |
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| 引用本文： | 刘慧芳.一类亚纯系数微分方程解的增长性[J].纯粹数学与应用数学,2008,24(1):25-30. |
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| 作者姓名： | 刘慧芳 |
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| 作者单位： | 华南师范大学数学科学学院,广东,广州,510631;江西师范大学数学与信息科学学院,江西,南昌,330027 |
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| 摘 要： | 研究了一类亚纯系数微分方程的复振荡问题.通过应用亚纯函数的分解和模的增长估计,得到了该类方程解的级及其超级的精确估计.
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| 关 键 词： | 微分方程 亚纯函数 级 超级 |
| 文章编号： | 1008-5513(2008)01-0025-05 |
| 修稿时间： | 2006年2月28日 |
On the growth of solutions of a class of differential equations with meromorphic coefficients |
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| LIU Hui-fang.On the growth of solutions of a class of differential equations with meromorphic coefficients[J].Pure and Applied Mathematics,2008,24(1):25-30. |
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| Authors: | LIU Hui-fang |
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| Institution: | LIU Hui-fang (School of Mathematical Science,South China Normal University,Guangzhou 510631,China,Institute of Mathematics , Informatics,Jiangxi Normal University,Nanchang 330027 |
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| Abstract: | We investigate the complex oscillation of a class of differential equations with meromorphic coeffi- cients.By using the factorization of meromorphic functions and the growth estimation of the modual,we obtain precise estimation of the order of growth and hyper-order of solutions of the equations. |
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| Keywords: | differential equation meromorphic function the order of growth hyper-order |
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