复微分方程组的代数解（英文）  

ALGEBRAIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENTIAL EQUATIONS

作　　者：王钥[1] 张庆彩[1] 

机构地区：[1]中国人民大学信息学院,北京100872

出　　处：《数学杂志》2015年第3期477-485,共9页Journal of Mathematics

基　　金：Supported by the Outstanding Innovative Talents Cultivation Funded Programs 2014 of Renmin Univertity of China

摘　　要：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 differential 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.

关 键 词：微分方程 代数解 最大模原理 

分 类 号：O174.52[理学—数学]