复微分方程组的代数解
ALGEBRAIC SOLUTIONS OF SYSTEMS OFCOMPLEX DIFFERENTIAL EQUATIONS

本文研究了一类复微分方程组的代数解的存在问题.利用最大模原理和Nevanlinna值分布理论,得到了一个结论,推广和改进了一些文献的结果,例子表明结论精确.
This paper investigates the problem of existence of algebraic solutions of system of complex difierential equations. Using maximum modulus principle and the Nevanlinna theory of the value distribution of meromorphic functions, a new result is obtained, and some existing results are improved and generalized. Examples show that our result is precise