The growth of solutions of systems of complex q -shift difference equations

Advances in Difference Equations

Hong-Yan Xu¹  Bing-Xiang Liu¹  Ting-Bin Cao² 

[1] Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, China;Department of Mathematics, Nanchang University, Nanchang, China

关键词: q-shift;    difference equation;    transcendental meromorphic function;   

DOI  :  10.1186/1687-1847-2012-216

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the properties of systems of two types of complex q-shift difference equations with meromorphic solutions from the point of view of Nevanlinna theory. Some results obtained in this paper improve and extend the previous theorems given by Gao, and five examples show the extension of solutions of the system of complex difference equation. MSC:39A50, 30D35.

【 授权许可】

CC BY