@article{Xu2024, 
author = {Zhiyong Xu and Junfeng Xu},
title = {Solutions to some generalized Fermat-type differential-difference equations},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {34488-34503},
keywords = {meromorphic functions, Fermat-type equation, differential polynomials, Nevanlinna theory, differential-difference equation},
url = {https://www.sciopen.com/article/10.3934/math.20241643},
doi = {10.3934/math.20241643},
abstract = {The main purpose of this article is to study Fermat-type complex differential-difference equations  f(k)(z)2+[αf(z+c)−βf(z)]2=R(z). Our results improve some results due to Wang–Xu–Tu [AIMS. Mathematics, 2020], Zhang [Bull. Korean. Math. Soc, 2018], and Long–Qin [Applied Mathematics-A Journal of Chinese Universities, 2024]. Moreover, we provide some examples to show the existence of the solutions.}
}