The properties of solutions of certain type of difference equations

被引：0
作者：
Xiaoguang Qi
Jia Dou
Lianzhong Yang
机构：
[1] University of Jinan,School of Mathematics
[2] Quancheng Middle School,School of Mathematics
[3] Shandong University,undefined
来源：
Advances in Difference Equations | / 2014卷
关键词：
meromorphic functions; difference equation; growth; finite order;
D O I：
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学科分类号：
摘要：
In this paper, we shall utilize Nevanlinna value distribution theory to study the solvability of the difference equations of the form: f(z)n+p(z)(Δcf)m=r(z)eq(z) and f(z)n+p(z)eq(z)(Δcf)m=r(z), and we shall study the growth of their entire solutions. Moreover, we will give a number of examples to show that the results in this paper are the best possible in certain senses. This article extends earlier results by Liu et al. (Czechoslov. Math. J. 61:565-576, 2011; Ann. Pol. Math. 102:129-142, 2011).
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