摘要
利用亚纯函数的Nevanlinna值分布理论,研究了高阶非线性代数微分方程组亚纯允许解的存在性问题,获得了微分方程组的亚纯解或同为允许的,或同为非允许的,进而得到了更一般的结果.
Using Nevanlinna theory of the value distribution of meromorphic functions,the problem of the existence of meromorphic admissible solutions of complex higher-order nonlinear algebraic differential equation is investigated. It is obtained that the meromorphic solution of the differential equations system are all admissible or non admissible. Moreover, some other results are also given, which are more general than the previous ones.
作者
金瑾
JIN Jin(Department of Mathematies,Guizhou University of Engineering Seienee,Bijie 551700,China Research Institute of Circular Economy of Bijie,Bijie 551700,China)
出处
《东北师大学报(自然科学版)》
CAS
CSCD
北大核心
2016年第4期10-14,共5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)
贵州省毕节市科研基金资助项目([2011]02)
贵州省教育厅重点项目([2015]392)
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
algebraic differential equations systems
meromorphic function
admissible solution
Nevanlinna theory
value distribution