一类高阶非线性代数微分方程组的亚纯允许解  

On the Meromorphic Admissible Solution of Systems of Higher Order Non-linear Algebaic Differential Equations

作　　者：金瑾 

机构地区：[1]贵州工程应用技术学院数学系,贵州毕节551700

出　　处：《应用数学》2015年第4期890-894,共5页Mathematica Applicata

基　　金：贵州省科学技术基金资助项目(2010GZ43286);贵州省科学技术基金资助项目(2012GZ10526);贵州省毕节市科研基金资助项目([2011]02)

摘　　要：利用亚纯函数的Nevanlinna值分布理论,研究一类高阶非线性代数微分方程组的亚纯解的存在性问题,获得微分方程组的亚纯解或同为允许的,或同为非允许的,进而得到更一般的结果.In this paper, using Nevanlinna theory of the value distribution of meromorphic functions ,the problem of the existence of solutions of the higher-order nonlinear algebraic differential equation is investigated,and we obtain that the meromorphic solution of the differential equations system is all admissible or non admissible,and obtain some results which are more general than the previous ones.

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]