关于复差分方程组的允许解的形式

数学物理学报 ›› 2016, Vol. 36 ›› Issue (5): 901-910.

关于复差分方程组的允许解的形式

王钥¹, 高凌云²

1. 河北经贸大学数学与统计学学院石家庄 050061;
2. 暨南大学数学系广州 510632

收稿日期:2016-02-04 修回日期:2016-06-03 出版日期:2016-10-26 发布日期:2016-10-26
通讯作者: 高凌云,E-mail:tgaoly@jnu.edu.cn E-mail:tgaoly@jnu.edu.cn
作者简介:王钥,E-mail:wy2006518@163.com;高凌云,E-mail:tgaoly@jnu.edu.cn
基金资助:
国家自然科学基金（11171013）资助

On the Behavior of Systems of Complex Difference Equations with Admissible Solutions

Wang Yue¹, Gao Lingyun²

1. College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061;
2. Department of Mathematics, Jinan University, Guangzhou 510632

Received:2016-02-04 Revised:2016-06-03 Online:2016-10-26 Published:2016-10-26
Supported by:
Supported by the NSFC (11171013)

摘要/Abstract

摘要：

利用亚纯函数的值分布理论，该文主要研究了复差分方程组的允许解的形式，得到一个结论，将复微分（差分）方程的相关结论推广到复差分方程组中，例子表明该文结论精确.

关键词: 值分布, 允许解, 复差分方程组

Abstract:

Using Nevanlinna theory of the value distribution of meromorphic functions, we will mainly investigate the behavior of systems of complex difference equations when we add some conditions to the quality of the solutions, and obtain an interesting result. It extends some results concerning complex differential (difference) equations to the systems of difference equations. Examples show that our results are precise.

Key words: Value distribution, Admissible solution, Systems of complex difference equations

中图分类号:

O174.52

王钥, 高凌云. 关于复差分方程组的允许解的形式[J]. 数学物理学报, 2016, 36(5): 901-910.

Wang Yue, Gao Lingyun. On the Behavior of Systems of Complex Difference Equations with Admissible Solutions[J]. Acta mathematica scientia,Series A, 2016, 36(5): 901-910.

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