关于一类高阶复微分方程解的增长性  

On the Growth of Solutions of a Class of Higher Order Complex Differential Equations

作　　者：谭晖 肖丽鹏[1] TAN Hui;XIAO Lipeng(School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China)

机构地区：[1]江西师范大学数学与统计学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2022年第4期335-341,共7页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11661043)资助项目。

摘　　要：该文研究了一类高阶线性微分方程f~((k))+A_(k-1)f~((k-1))+…+A_(1)f′+A_(0)f=F(z)解的增长性,其中A_(0),A_(1),…,A_(k-1),F(z)是整函数,并且A_(0)、A_(1)是另一个2阶线性方程的非平凡解.推广了龙见仁等得到的结果.In this paper,the growth of solutions of a class of higher order linear differential equations f ^((k))+A_(k-1) ·f ^(k-1)+…+A_(1) f ′+A_(0) f=F(z) is studied,where A_(0),A_(1),…,A_(k-1),F(z) are entire functions,in addition,A_(0) and A_(1) are non-trivial solutions of another second-order linear equation.Previous results which are obtained by Long Jianren,Wu Tingmi and Wu Xiubi are promoted.

关 键 词：高阶线性微分方程 整函数 增长级 超级 

分 类 号：O174.52[理学—数学]