The study of solutions for several systems of PDDEs with two complex variables-Reference-Cited by-同舟云学术

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

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Xu Yi Hui¹,Liu Xiao Lan¹,Xu Hong Yan¹²

Affiliation:

1. School of Arts and Sciences, Suqian University , Suqian 223800 , P. R. China

2. School of Mathematics and Computer Science, Shangrao Normal University , Shangrao, Jiangxi, 334001 , P. R. China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0241/pdf

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