高阶非线性复微分方程组的亚纯允许解  

Meromorphic admissible solution of systems of higher order non-linear complex differential eguations

作　　者：金瑾[1] 武玲玲[1] 樊艺[1] 

机构地区：[1]毕节学院数学与计算机科学学院,贵州毕节551700

出　　处：《东北师大学报（自然科学版）》2015年第1期22-25,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：贵州省科学技术基金资助项目(2010GZ43286;2012GZ10526);毕节市科研基金资助项目(201102)

摘　　要：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,并且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 meromorphic solutions of higher order algebraic differential equation system,obtain that the solution of the system are all admissible or nonadmissible,improvements and extensions such results are presented in this paper.

关 键 词：代数微分方程组 亚纯函数 允许解 NEVANLINNA理论 值分布理论 

分 类 号：O174.52[理学—数学]