On Meromorphic Solutions of Non-linear Differential-Difference Equations

被引：0
|
作者：
Zhao, Mingxin [1 ]
Huang, Zhigang [1 ]
机构：
[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 04期
关键词：
Differential-difference equation center dot Non-existence center dot Order center dot Entire solution;
D O I：
10.1007/s44198-023-00136-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the non-existence of transcendental entire solutions for non-linear differential-difference equations of the forms integral(n) (z)+Q(z,f)=beta(1)e(1)(alpha)(z) +beta(2)e(2)(alpha)(z) +...+beta(s)e(s)(alpha)z and integral(n) (z)integral(k)(z)+L-d(Z,f)+Sigma;p(i)(z)e(i)(alpha)z where n, s are positive integers, n >= s + 2, Q(z, f) is a differential-difference polynomial in f of degree d.
引用
收藏
页码：1444 / 1466
页数：23
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