复微分方程组亚纯解的分量的Nevanlinna特征估计

摘要

This paper investigates the characteristic estimation of meromorphic solutions of a class of systems of complex differential equations. Using Nevanlinna theory of value distribution of meromorphic function, we obtain a theorem which relates to the characteristic estimation of meromorphic solutions of systems of equations. The result generalizes the result due to Gao Lingyun etc.%本文讨论了一类复微分方程组的亚纯解的分量的Nevanlinna特征估计,利用亚纯函数Nevanlinna值分布理论,得到了一个有关方程组亚纯解的分量的Nevanlinna特征估计定理. 该结果推广了高凌云等人的一些结果.