Existence and growth of meromorphic solutions of some nonlinear q -difference equations

Advances in Difference Equations

Jin Tu¹  Xiu-Min Zheng¹ 

[1] Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, China

关键词: q-difference equation;    differential-q-difference equation;    meromorphic solution;    order zero;   

DOI  :  10.1186/1687-1847-2013-33

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence of transcendental meromorphic solutions of order zero of some nonlinear q-difference equations and some more general equations. We also give some estimates on the growth of transcendental meromorphic solutions of these equations. Some examples are given to illustrate the sharpness of some of our results. MSC:30D35, 39B32.

【 授权许可】

CC BY