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The study of solutions for several systems of PDDEs with two complex variables

Xu Yi Hui, Liu Xiao Lan, Xu Hong Yan

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20220241

The purpose of this article is to describe the properties of the pair of solutions of several systems of Fermat-type partial differential difference equations. Our theorems exhibit the forms of finite order transcendental entire solutions for these systems, which are some extensions and improvement of the previous theorems given by Xu, Cao, Liu, etc. Furthermore, we give a series of examples to show that the existence conditions and the forms of transcendental entire solutions with finite order of such systems are precise.