Note on wandering domains in the dynamics of solutions of certain difference equations

Advances in Difference Equations

Guowei Zhang¹ 

[1] School of Mathematics and Statistics, Anyang Normal University, Anyang, China

关键词: Nevanlinna theory;    difference equation;    wandering domain;    iterate;    30D05;    37F10;    37F50;   

DOI  :  10.1186/s13662-015-0359-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this note we study the value distribution of solutions of certain difference equations analogous to differential equations, the finite order solutions of which do not have wandering domains. Meanwhile, the nonexistence of wandering domains of solutions with finite order of these difference equations is proved. Thus the nonexistence of wandering domains of solutions of these difference and differential equations is similar in some extent.

【 授权许可】

CC BY