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山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (10): 34-40.doi: 106040/j.issn.16719352.0.2015628

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一类复差分方程组的亚纯解

刘曼莉,高凌云*   

  1. 暨南大学数学系, 广东 广州 510632
  • 收稿日期:2015-12-21 出版日期:2016-10-20 发布日期:2016-10-17
  • 通讯作者: 高凌云(1963— ),男,博士,教授,研究方向为复分析与微分方程. E-mail:tgaoly@jnu.edu.cn E-mail:lml6641@163.com
  • 作者简介:刘曼莉(1992— ),女,硕士研究生,研究方向为复分析与微分方程.E-mail:lml6641@163.com

Meromorphic solutions of a type of system of complex difference equations

LIU Man-li, GAO Ling-yun*   

  1. Department of Mathematics, Jinan University, Guangzhou 510632, Guangdong, China
  • Received:2015-12-21 Online:2016-10-20 Published:2016-10-17

摘要: 利用亚纯函数的Nevanlinna值分布理论的方法,讨论了一类复差分方程组亚纯解的存在性问题和复差分方程组的存在形式。在适当条件的假设下,得到了关于这类复差分方程组的两个结果,并且有实例证明得到的结果是精确的。

关键词: 差分方程, 增长级, 亚纯解, 值分布理论, 复差分方程组

Abstract: The method of Nevanlinna value distribution theory concerning meromorphic functions is used, a problem for the existence of meromorphic solutions on a type of system of complex difference equations and the form about a type of system of complex difference equations are investigated. Under the assumption restricted to certain proper conditions, two results about the type of system of complex difference equations are obtained, and some examples show that the results are precise.

Key words: value distribution theory, difference equations, system of complex difference equations, the growth order, meromorphic solution

中图分类号: 

  • O174.52
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