TITLE:
Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations
AUTHORS:
Baoqin Chen
KEYWORDS:
Unicity, Meromorphic Solution, Difference Equation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.7,
July
25,
2019
ABSTRACT: 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.