文献类型：期刊文献

中文题名：Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations

英文题名：Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations

作者：Baoqin Chen[1]

机构：[1]Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhangjiang, China

年份：2019

卷号：9

期号：7

起止页码：611

中文期刊名：Advances in Pure Mathematics

外文期刊名：理论数学进展（英文）

语种：英文

中文关键词：Unicity;Meromorphic;Solution;Difference;Equation

外文关键词：Unicity;Meromorphic Solution;Difference Equation

中文摘要：This paper is to study the unicity of transcendental meromorphic solutions to some nonlinear difference equations. Let be a nonzero rational function. Consider the uniqueness of transcendental meromorphic solutions to some nonlinear difference equations of the form . For two finite order transcendental meromorphic solutions of the equation above, it shows that they are almost equal to each other except for a nonconstant factor, if they have the same zeros and poles counting multiplicities, when . Two relative results are proved, and examples to show sharpness of our results are provided.

外文摘要：This paper is to study the unicity of transcendental meromorphic solutions to some nonlinear difference equations. Let be a nonzero rational function. Consider the uniqueness of transcendental meromorphic solutions to some nonlinear difference equations of the form . For two finite order transcendental meromorphic solutions of the equation above, it shows that they are almost equal to each other except for a nonconstant factor, if they have the same zeros and poles counting multiplicities, when . Two relative results are proved, and examples to show sharpness of our results are provided.