一类高阶复微分方程组亚纯允许解的探讨  

Research on meromorphic admissible solutions to a class of systems of higher-order complex differential equations

作　　者：郭海玲[1] 高凌云[1] 

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《暨南大学学报（自然科学与医学版）》2007年第1期15-19,共5页Journal of Jinan University(Natural Science & Medicine Edition)

基　　金：国家自然科学基金项目(10471065);广东省自然科学基金项目(04010474)

摘　　要：利用亚纯函数的Nevanlinna值分布理论和方法,研究了一定条件下复域内高阶微分方程组亚纯允许解的估值问题,对一类特殊的高阶复微分方程组允许解的估计做了改进.Applying the Nevanlinna value distribution theory and methods of meromorphic functions,this paper studies the estimation of meromorphic admissible solutions to systems of complex higher-order differential equations under a certain condition. The estimation of the admissible solutions to some special systems of higher-order complex differential equations is improved.

关 键 词：亚纯允许解 复微分方程组 特征函数 

分 类 号：O174.52[理学—数学]