复微分-差分方程组的整函数解  

Entire Solutions of Systems of Complex Differential-difference Equations

作　　者：曾翠萍[1] 邓炳茂[2] 方明亮[2] Cui Ping ZENG;Bing Mao DENG;Ming Liang FANG(Department of Mathematics,Guangdong University of Finance, Guangzhou 510521,P.R.China;Institute of Applied Mathematics,South China Agricultural University, Guangzhou 510642,P.R.China)

机构地区：[1]广东金融学院应用数学系,广州510521 [2]华南农业大学应用数学研究所,广州510642

出　　处：《数学学报（中文版）》2019年第1期123-136,共14页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11371149);广东省教育厅科研项目(2017KTECX130);广东金融学院科研资助项目(20170502152;15XJ01-03)

摘　　要：利用值分布理论,研究了一类n阶复微分-差分方程ω^(n)(z)~2+[αω(z+c)-βω(z)]~2=1和复微分-差分方程组■是否存在有限级整函数解的问题.本文推广并改进了高凌云和刘凯等人的结果.In this paper,using theory of value distribution, we investigate whether a class of order n complex differential-difference equation ωn(z)2 + [αω(z+c)-βω(z)]2= 1 and a class of systems of order n complex differential-difference equations {ω1^(n)(z)^2+[αω2(z+c)-βω1(z)]^2=1,ω2^(n)(z)^2+[αω1(z+c)-βω2(z)]^2=1 have entire solutions with finite order or not. Our results extend and improve the results due to Gao Lingyun and Liu Kai et al.

关 键 词：复微分-差分方程 超越整函数 亚纯函数 

分 类 号：O174.52[理学—数学]