The properties of solutions of certain type of difference equations

被引：2
作者：
Qi, Xiaoguang [1 ]
Dou, Jia [2 ]
Yang, Lianzhong [3 ]
机构：
[1] Univ Jinan, Sch Math, Jinan 250022, Shandong, Peoples R China
[2] Quancheng Middle Sch, Jinan 250000, Shandong, Peoples R China
[3] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
meromorphic functions; difference equation; growth; finite order; NONLINEAR DIFFERENCE;
D O I：
10.1186/1687-1847-2014-256
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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)(Delta(f)(c))(m) = r(z)e(q(z)) and f (z)(n) + p(z)e(q(z))(Delta(c)f)(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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页数：10
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