一类高阶非线性微分方程组的亚纯允许解

Meromorphic admissible solutions of systems of higher order non-linear differential equations

利用亚纯函数值分布理论与方法,研究了一类高阶代数微分方程组的亚纯允许解,得到了此类方程组存在亚纯允许解的条件.

In this paper, using the theory and the method of the value distribution of meromorphic functions, we discussed the problem of the admissible solutions of meromorphic solutions of systems, of higher order non-linear algebraic differential equations and obtain the condition of it.