Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 26, pp. 1-21.

Title: Entire solutions to Fermat-type difference and partial differential-difference
 equations in C^n

Authors: Hong Yan Xu (Suqian Univ., Suqian, Jiangsu, China)
         Goutam Haldar (Ghani Khan Choudhury Inst.of Engineering and Tech., West Bengal, India)

Abstract:
In this article, we study the existence and the form of finite order transcendental
entire solutions of systems of Fermat-type difference and partial
differential-difference equations in several complex variables.
Our results extend previous theorems given by Xu-Cao [49], Xu et al [52], and Zheng-Xu [55].
We give some examples to illustrate the content of this article.


Submitted January 6, 2024. Published March 25, 2024.
Math Subject Classifications: 39A45, 32H30, 30D35.
Key Words: Entire solutions; Fermat-type; partial differential equations; Nevanlinna theory.