一类高阶非线性微分方程组的亚纯允许解  

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

作　　者：金瑾[1] 李泽清[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：《应用数学》2014年第2期292-298,共7页Mathematica Applicata

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)

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,研究一类高阶非线性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 non-linear differential equation system, obain that the solution of the system are all admissible or nonadmissible,improvements and extemsions 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]