一类高阶非线性代数微分方程组的亚纯允许解

On the Meromorphic Admissible Solution of Systems of Higher Order Non-linear Algebaic Differential Equations

利用亚纯函数的Nevanlinna值分布理论,研究一类高阶非线性代数微分方程组的亚纯解的存在性问题,获得微分方程组的亚纯解或同为允许的,或同为非允许的,进而得到更一般的结果.

In this paper, using Nevanlinna theory of the value distribution of meromorphic functions ,the problem of the existence of solutions of the higher-order nonlinear algebraic differential equation is investigated,and we obtain that the meromorphic solution of the differential equations system is all admissible or non admissible,and obtain some results which are more general than the previous ones.