THE VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF SOME SECOND ORDER NONLINEAR DIFFERENCE EQUATION

被引：3

作者：

Jiang, Yeyang ^{[1
]}

Liao, Li ^{[2
]}

Chen, Zongxuan ^{[3
]}

机构：

[1] Jiangxi Sci & Technol Normal Univ, Sch Math & Comp, Nanchang 330038, Jiangxi, Peoples R China

[2] Yichun Univ, Sch Math & Comp, Yichun 336000, Jiangxi, Peoples R China

[3] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Difference equation; meromorphic solution; growth; rational solutions; RICCATI; LEMMA; XN+1;

D O I：

10.11918/2018.32

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate some properties of solutions for some nonlinear difference equation, and obtain some estimates of the exponent of convergence of poles and growth of its transcendental meromorphic solutions f(z) and its difference Delta f (z). Moreover, we study the existence and forms of rational solutions. We also give some examples to support our theoretical discussion.

引用

页码：32 / 41

页数：10

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