On Meromorphic Solutions of Nonlinear Complex Differential Equations

Authors

  • Xianfeng Su School of Information, Renmin University of China, Beijing, 100086
  • Qingcai Zhang School of Information, Renmin University of China, Beijing, 100086

DOI:

https://doi.org/10.13447/j.1674-5647.2018.02.07

Keywords:

non-admissible solution, complex differential equation, value distribution, meromorphic function

Abstract

Applying the Nevanlinna theory of meromorphic function, we investigate the non-admissible meromorphic solutions of nonlinear complex algebraic differential equation and gain a general result. Meanwhile, we prove that the meromorphic solutions of some types of the systems of nonlinear complex differential equations are non-admissible. Moreover, the form of the systems of equations with admissible solutions is discussed.

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Published

2019-12-16

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Issue

Vol. 34 No. 2 (2018)

Section

Articles

How to Cite

On Meromorphic Solutions of Nonlinear Complex Differential Equations. (2019). Communications in Mathematical Research, 34(2), 149-160. https://doi.org/10.13447/j.1674-5647.2018.02.07