关于复代数微分方程亚纯解的增长级

J4 ›› 2010, Vol. 45 ›› Issue (6): 91-93.

关于复代数微分方程亚纯解的增长级

徐俊峰

五邑大学数学与计算科学学院, 江门广东 529020

收稿日期:2009-09-28 出版日期:2010-06-16 发布日期:2010-06-17
作者简介:徐俊峰(1979-),男, 博士, 副教授. 主要从事复分析研究. Email: xujunf@gmail.com
基金资助:
国家自然科学基金资助项目(10771121);广东省自然科学基金资助项目(9452902001003278);广东省高校优秀青年创新人才培养项目(LYM08097)

On the growth of the meromorphic solutions of complex algebraic differential equations

XU Jun-feng

School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, Guangdong, China

Received:2009-09-28 Online:2010-06-16 Published:2010-06-17

摘要/Abstract

摘要：

利用Zalcman引理, 精确的估计了一类高阶代数微分方程组解的增长级。推广和改进了已知的结果。

关键词: 增长级;正规族;复微分方程组

Abstract:

By Zalcman Lemama, estimating the growth order of the solution of a type of systems of higher order algbraic differential equations are obtained. Many results concerning the solutions of differential equation are generalized and improved.

Key words: growth order; normal families; systems of complex differential equations

徐俊峰. 关于复代数微分方程亚纯解的增长级[J]. J4, 2010, 45(6): 91-93.

XU Jun-feng. On the growth of the meromorphic solutions of complex algebraic differential equations[J]. J4, 2010, 45(6): 91-93.

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