一类非线性微分-差分方程的整函数解  

On entire solutions of a certain type of nonlinear differential-difference equations

作　　者：朱敏[1] 许爱珠 ZHU Min;XU Ai-zhu(School of Mathematics and Statistics,Fujian Normal University,Fuzhou,Fujian 350117,China;College of Mathematics and Physics,Ningde Normal University,Ningde,Fujian 352100,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117 [2]宁德师范学院数理学院,福建宁德352100

出　　处：《宁德师范学院学报（自然科学版）》2023年第3期229-234,共6页Journal of Ningde Normal University(Natural Science)

基　　金：福建省自然科学基金项目(2022J011212);宁德师范学院科研创新团队(2019T01);宁德师范学院科研项目(2020Y03).

摘　　要：考虑非线性微分-差分方程f(z)+q(z)e^(Q(z))f^((k))(z+c)=p_(1)e^(α1z)+p2^(eα2z)的超越整函数解,其中k≠0是整数,q(z)是非零多项式,Q(z)是非常数多项式,c,p_(1),p_(2),α_(1),α_(2)为非零常数,α_(1)≠α_(2).所得结果改进并推广了已有成果.We consider the transcendental entire solutions of differential-difference equation f(z)+q(z)e^(Q(z))f^((k))(z+c)=p_(1)e^(α1z)+p2^(eα2z) z,where k≠0 is an integer,q(z)is a non-zero polynomial,Q(z)is a nonconstant polynomial and c,p_(1),p_(2),α_(1),α_(2) are non-zero constants such thatα_(1)≠α_(2).The result obtained improves and extends previous results.

关 键 词：NEVANLINNA理论 指数多项式 整函数解 非线性微分-差分方程 

分 类 号：O174.52[理学—数学]