高阶非线性代数微分方程组的可允许解

Admissible Solutions of Systems of Higher Order Non-Linear Algebraic Differential Equations

利用亚纯函数的Nevanlinna值分布理论和微分方程的研究技巧,研究了一类高阶代数微分方程组的亚纯解,并微分方程组的亚纯解或同为允许的,或同为非允许的.推广和改进了一些结论.

In this paper, applying Nevanlinna theory of the value distribution of meromorphic functions and investigation skills of differential equations, we study the meromorphie solutions of higher order algebraic differential equation system and obain that the soulfions of the system are all admissible or nonadmissible. Improvements and extensions of such results are presented.