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J4 ›› 2012, Vol. 47 ›› Issue (8): 39-41.

• 论文 • 上一篇    下一篇

关于非线性复代数微分方程组的非亚纯允许解

苏先锋,李晓萌   

  1. 淮北师范大学数学系, 安徽 淮北 235000
  • 收稿日期:2011-03-20 出版日期:2012-08-20 发布日期:2012-12-24
  • 作者简介:苏先锋(1979- ),男,讲师,硕士,研究方向为复分析与微分方程. Email:suxianfeng2006@tom.com
  • 基金资助:

    国家自然科学基金资助项目(10471065);安徽省高等学校省级优秀青年人才基金项目(2011SQRL172)

On non-admissible meromorphic solutions of systems of  non-linear complex algebraic differential equations

SU Xian-feng, LI Xiao-meng   

  1. Department of Mathematics, Huaibei Normal University, Huaibei 235000, Anhui, China
  • Received:2011-03-20 Online:2012-08-20 Published:2012-12-24

摘要:

利用Navanlinna值分布理论,证明了一类非线性复代数微分方程组的亚纯解是非允许解。

关键词: 非允许解;复微分方程;亚纯函数;值分布

Abstract:

 By the theory of Nevanlinna′s value distribution, it is proved that the meromorphic solutions of a type of systems of non-linear complex algebraic differential equations are non-admissible.

Key words:  non-admissible solution; complex differential equations; meromorphic function; value distribution

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