The existence of entire solutions of some systems of the Fermat type differential-difference equations

AIMS Mathematics

article

Yeyang Jiang¹  Zhihua Liao¹  Di Qiu¹ 

[1] School of Mathematics and Computer, Jiangxi Science and Technology Normal University

关键词: existence;    Fermat type;    differential-difference equation;    finite order;    entire solution;   

DOI  :  10.3934/math.2022974

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we investigate some systems of the Fermat type differential-difference equations with polynomial coefficients and obtain the condition for the existence of finite order transcendental entire solutions and the expression for the entire solutions. We also give some corresponding examples.

【 授权许可】

CC BY