Entire Solutions of Certain Type of Non-Linear Difference Equations

被引：23
|
作者：
Chen, Min-Feng [1 ,2 ]
Gao, Zong-Sheng [1 ,2 ]
Zhang, Ji-Long [1 ,2 ]
机构：
[1] Beihang Univ, LMIB, Beijing 100191, Peoples R China
[2] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2019年 / 19卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Entire solutions; Non-linear difference equations; Exponential polynomial; Nevanlinna theory;
D O I：
10.1007/s40315-018-0250-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of entire solutions of finite-order of non-linear difference equations of the form f n (z) + q(z) c f (z) = p1ea1z + p2ea2z, n = 2 and f n (z) + q(z) eQ(z) f (z + c) = p1e.z + p2e -.z, n = 3 where q, Q are non-zero polynomials, c,., pi, ai (i = 1, 2) are non-zero constants such that a1 = a2 and c f (z) = f (z+ c)-f (z) = 0. Our results are improvements and complements ofWen et al. (Acta Math Sin 28: 1295-1306, 2012), Yang and Laine (Proc Jpn Acad Ser A Math Sci 86: 10-14, 2010) and Zinelaabidine (Mediterr J Math 14: 1-16, 2017).
引用
收藏
页码：17 / 36
页数：20
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