| 一类高阶复微分方程组亚纯允许解的探讨 |
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| 引用本文： | 郭海玲,高凌云. 一类高阶复微分方程组亚纯允许解的探讨[J]. 暨南大学学报(自然科学与医学版), 2007, 28(1): 15-19 |
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| 作者姓名： | 郭海玲 高凌云 |
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| 作者单位： | 暨南大学数学系,广东,广州,510632 |
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| 基金项目： | 国家自然科学基金 , 广东省自然科学基金 |
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| 摘 要： | 利用亚纯函数的Nevanlinna值分布理论和方法,研究了一定条件下复域内高阶微分方程组亚纯允许解的估值问题,对一类特殊的高阶复微分方程组允许解的估计做了改进.
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| 关 键 词： | 亚纯允许解 复微分方程组 特征函数 复微分方程组 亚纯允许解 complex differential equations systems class solutions admissible meromorphic 改进 解的估计 问题 估值 复域 条件 研究 方法 值分布理论 Nevanlinna 亚纯函数 利用 |
| 文章编号： | 1000-9965(2007)01-0015-05 |
| 修稿时间： | 2006-09-27 |
Research on meromorphic admissible solutions to a class of systems of higher-order complex differential equations |
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| GUO Hai-ling,GAO Ling-yun. Research on meromorphic admissible solutions to a class of systems of higher-order complex differential equations[J]. Journal of Jinan University(Natural Science & Medicine Edition), 2007, 28(1): 15-19 |
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| Authors: | GUO Hai-ling GAO Ling-yun |
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| Affiliation: | Department of Mathematics, Jinan University, Guangzhou 510632, China |
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| Abstract: | Applying the Nevanlinna value distribution theory and methods of meromorphic functions,this paper studies the estimation of meromorphic admissible solutions to systems of complex higher-order differential equations under a certain condition. The estimation of the admissible solutions to some special systems of higher-order complex differential equations is improved. |
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| Keywords: | meromorphic admissble solutions systems of complex differential equations characteristic function |
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