复微分方程组亚纯解的分量的Nevanlinna特征估计(英文)  

ESTIMATES FOR THE NEVANLINNA CHARACTERISTICS OF COMPONENTS OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENTIAL EQUATIONS

作　　者：江秀海[1] 高凌云[1] 

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《数学杂志》2006年第4期361-365,共5页Journal of Mathematics

基　　金：Supported by NSF of P.R.China(10471065) and NSF of Guangdonng province(04010474)

摘　　要：本文讨论了一类复微分方程组的亚纯解的分量的Nevanlinna特征估计,利用亚纯函数Nevanlinna值分布理论,得到了一个有关方程组亚纯解的分量的Nevanlinna特征估计定理.该结果推广了高凌云等人的一些结果.This paper investigates the characteristic estimation of meromorphic solutions of a class of systems of complex differential equations. Using Nevanlinna theory of value distribution of meromorphic function, we obtain a theorem which relates to the characteristic estimation of meromorphic solutions of systems of equations. The result generalizes the result due to Gao Lingyun etc.

关 键 词：亚纯解 特征函数 微分方程组 

分 类 号：O174.52[理学—数学]