Some Studies On Meromorphic Solutions Of Complex Differential-Difference Equations

In this paper,we mainly study the uniqueness of the meromorphic solution of a class of complex difference equations and a class of complex differential-difference equations by using the Nevanlinna theory.The structure of the paper is as follows:In chapter ?,we briefly introduced some common symbols of Nevanlinna and the uniqueness theory of meromorphic functions,as well as some logarithmic derivative lemma differential simulation theory of meromorphic functions.In chapter ?,we studied the uniqueness of the meromorphic solutions of the Painlev?0)IV difference equation involving the three shared values,and the results deduced the results of Xiaoming Wang and Jilong Zhang,etc.In chapter ?,firstly,we investigated the growth order of meromorphic solutions for a class of complex differential-difference equations,and the results obtained generalize the growth order estimates of the solutions by Yue Wang and others.Secondly,under the condition of finite multiple poles,we discuss the uniqueness of meromorphic solutions of this kind of equation with three shared values.In chapter ?,the summary and outlook.It explained the main research contents of this paper,and put forward some problems to be solved.