%0 Journal Article
%T Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations
%A Baoqin Chen
%J Advances in Pure Mathematics
%P 611-618
%@ 2160-0384
%D 2019
%I Scientific Research Publishing
%R 10.4236/apm.2019.97030
%X This paper is to study the unicity of transcendental meromorphic solutions to some nonlinear difference equations. Let <sub><img src=\"Edit_a93a5d6e-8784-42a3-8505-63a411df431f.bmp\" alt=\"\" /></sub> be a nonzero rational function. Consider the uniqueness of transcendental meromorphic solutions to some nonlinear difference equations of the form <sub><img src=\"Edit_9a3b22ca-428e-4b98-833c-60346c21287c.bmp\" alt=\"\" /></sub>. 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 <sub><img src=\"Edit_dcbaa877-ba9f-44df-9033-6b1e818ac8cc.bmp\" alt=\"\" /></sub>. Two relative results are proved, and examples to show sharpness of our results are provided.
%K Unicity
%K Meromorphic Solution
%K Difference Equation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=93887