一类亚纯系数高阶非齐次线性微分方程解与小函数的增长性  

Growth of Solutions of a Class of Higher Order Non-homogeneous Linear Differential Equations with Meromorphic Coefficients

作　　者：金瑾[1] 樊艺[1] 左建军[1] 武玲玲[1] 

机构地区：[1]毕节学院理学院,贵州毕节551700

出　　处：《上海大学学报（自然科学版）》2014年第6期733-740,共8页Journal of Shanghai University:Natural Science Edition

基　　金：贵州省科学技术基金资助项目(2012GZ10526);贵州省毕节地区科研基金资助项目

摘　　要：利用亚纯函数的Nevanlinna值分布理论和微分方程方法,研究了亚纯函数系数的高阶非齐次线性微分方程解与小函数的关系,得到了一类高阶非齐次微分方程解取小函数时的精确估计.Using the Nevanlinna theory of value distribution of meromorphic functions,and the methods of differential equations,relationship is investigated between the higher order linear differential equations with meromorphic coefficients and functions with smaller growth,and precise estimation is obtained between meromorphic solutions of nonhomogeneous linear differential equations and functions with smaller growth.

关 键 词：线性微分方程 亚纯函数 级 超级 

分 类 号：O174.55[理学—数学]