Solutions of complex difference and q -difference equations

Advances in Difference Equations

Yue Wang¹ 

[1] School of Information, Renmin University of China, Beijing, China

关键词: value distribution;    entire solutions;    meromorphic solutions;    systems of higher-order complex difference equations;    complex q-difference equation;    30D35;   

DOI  :  10.1186/s13662-016-0790-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using Nevanlinna theory of the value distribution of meromorphic functions, the growth of entire solutions and the form of transcendental meromorphic solutions of some types of systems of higher-order complex difference equations are investigated. Some new results are obtained. We also investigate the problem of the existence of solutions of complex q-difference equations, and we obtain some new results, which are different from analogue differential equations. Improvements and extensions of some results in the literature are presented. Some examples show that our results are, in a sense, the best possible.

【 授权许可】

CC BY