利用亚纯函数的Nevanlinna值分布理论以及借助复微分方程的研究技巧,研究了一类代数微分方程组允许解的存在性问题,推广和改进了以前一些文献的结果,例子表明结论之一的上界是可以达到的.
By using the Nevanlinna theory of the distribution of meromophic functions and the investigation skills of complex differential equations, the problem of the existense of admissible solutions of a type of algebraic equations are investigated. Some results are improved and generalized. Example shows that the upperbound of one of our results can reach.