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Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations
Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhangjiang, China
- 1 Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhangjiang, China
Advances in Pure Mathematics·Volume 09 (2019)·Pages 611–618·Published 25 July 2019·DOI10.4236/apm.2019.97030
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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.
KeywordsUnicityMeromorphic SolutionDifference Equation
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