四川师范大学学报（自然科学版）2017，Vol.40Issue(2)：189-192,4.DOI:10.3969/j.issn.1001-8395.2017.02.008
高阶非线性代数微分方程组的亚纯允许解
Meromorphic Admissible Solution of Systems of High Order Nonlinear Algebraic Differential Equations
摘要
Abstract
In this paper,by using Nevanlinna theory of the value distribution of meromorphic functions,the existence of meromorphic admissible solutions of complex high order nonlinear algebraic differential equation is investigated.It is proved that the meromorphic solution of the differential equations system are all admissible or non admissible,and some more general results are obtained.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Key words
algebraic differential equations systems/meromorphic function/admissible solution/Nevanlinna theory/value distribution分类
数理科学引用本文复制引用
金瑾..高阶非线性代数微分方程组的亚纯允许解[J].四川师范大学学报（自然科学版）,2017,40(2):189-192,4.基金项目
贵州省科学技术基金(2010GZ43286和2012GZ10526)和贵州省毕节市科研基金([2011]02) （2010GZ43286和2012GZ10526）
