| 复微分方程组亚纯解的分量的Nevanlinna特征估计 |
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| 引用本文： | 江秀海,高凌云. 复微分方程组亚纯解的分量的Nevanlinna特征估计[J]. 数学杂志, 2006, 26(4): 361-365 |
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| 作者姓名： | 江秀海 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： | Supported by NSF of P.R.China(10471065) and NSF of Guangdonng province(04010474) |
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| 摘 要： | 本文讨论了一类复微分方程组的亚纯解的分量的Nevanlinna特征估计,利用亚纯函数Nevanlinna值分布理论,得到了一个有关方程组亚纯解的分量的Nevanlinna特征估计定理.该结果推广了高凌云等人的一些结果.
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| 关 键 词： | 亚纯解 特征函数 微分方程组 |
| 文章编号： | 0255-7797（2006）04-0361-05 |
| 收稿时间： | 2005-04-13 |
| 修稿时间： | 2005-04-13 |
ESTIMATES FOR THE NEVANLINNA CHARACTERISTICS OF COMPONENTS OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENTIAL EQUATIONS |
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| JIANG Xiu-hai,GAO Ling-yun. ESTIMATES FOR THE NEVANLINNA CHARACTERISTICS OF COMPONENTS OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENTIAL EQUATIONS[J]. Journal of Mathematics, 2006, 26(4): 361-365 |
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| Authors: | JIANG Xiu-hai GAO Ling-yun |
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| Affiliation: | Dept. of Math., Jinan University, Guangzhou 510632, China |
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| Abstract: | This paper investigates the characteristic estimation of meromorphic solutions of a class of systems of complex differential equations. Using Nevanlinna theory of value distribution of meromorphic function, we obtain a theorem which relates to the characteristic estimation of meromorphic solutions of systems of equations. The result generalizes the result due to Gao Lingyun etc. |
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| Keywords: | meromorphic solution characteristic function systems of differential equations |
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