一类复高阶非线性代数微分方程解的研究

Research of Solutions of a Class of Higher-order Nonlinear Algebraic Differential Equations

利用亚纯函数的Nevanlinna值分布理论,研究一类复代数微分方程的亚纯解的问题,得到一个结论,推广和改进了高凌云等人的结论。

Using Nevanlinna theory for value distribution of meromorphic function,we investigate the problem of meromorphic solution of a class of higher-order nonlinear algebraic differential equation,and ob?tain one result which due to Gao Lingyun etc is in proved and generalized.