一类复差分方程组的亚纯解

Meromorphic solutions of a type of system of complex difference equations

利用亚纯函数的Nevanlinna值分布理论的方法,讨论了一类复差分方程组亚纯解的存在性问题和复差分方程组的存在形式。在适当条件的假设下,得到了关于这类复差分方程组的两个结果,并且有实例证明得到的结果是精确的。

The method of Nevanlinna value distribution theory concerning meromorphic functions is used,a problem for the existence of meromorphic solutions on a type of system of complex difference equations and the form about a type of system of complex difference equations are investigated. Under the assumption restricted to certain proper conditions,two results about the type of system of complex difference equations are obtained,and some examples show that the results are precise.