利用亚纯函数的Nevanlinna值分布理论及反证法,讨论了一类高阶复微分方程组非允许解的存在性问题,给出这类方程组存在非允许解的条件,并通过例子说明这一结果的可行性.
Using Nevanlinna's value distribution theory for meromorphic functions, some sufficient existence conditions of non-admissible solutions are presented for a class of higher order algebraic differential equation systems. Two illustrating examples are given.