Fermat型复微分-差分方程的整函数解  

Entire Solutions of Several Fermat Type Systems of Complex Differential-Difference Equations

作　　者：方成鸿 徐洪焱 FANG Chenghong;XU Hongyan(School of Information Engineering,Jingdezhen Ceramic University,Jingdezhen 333403,Jiangxi,China;School of Mathematics and Computer Science,Shangrao Normal University,Shangrao 334001,Jiangxi,China)

机构地区：[1]景德镇陶瓷大学信息工程学院,江西景德镇333403 [2]上饶师范学院数学与计算机学院,江西上饶334001

出　　处：《数学年刊（A辑）》2022年第1期1-16,共16页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.12161074)的资助。

摘　　要：利用值分布理论,研究了一类Fermat型复微分-差分方程与复微分-差分方程组,得到有限级超越整函数解的存在条件与具体形式,推广改进了高凌云、刘凯、曾翠萍等人的结果.In this paper,the authors discuss several Fermat type systems of complex differential-difference equations by applying the Nevanlinna theory of value distribution,and obtain results about the existence and the forms of entire solutions of such systems,which are some improvements of the results given by Gao,Liu,Zeng et al.

关 键 词：复微分-差分方程 整函数 存在性 

分 类 号：O174.52[理学—数学]