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

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. For more information see https://ejde.math.txstate.edu/Volumes/2024/26/abstr.html