Results on Solutions for Several Systems of Partial Differential-Difference Equations with Two Complex Variables

Author:

Chen Yuxian1,Xie Libing1,Xu Hongyan23ORCID

Affiliation:

1. College of Mathematics and Computer, Xinyu University, Xinyu, Jiangxi 338004, China

2. School of Arts and Sciences, Suqian University, Suqian, Jiangsu 223800, China

3. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao, Jiangxi 334001, China

Abstract

This article is to describe the entire solutions of some partial differential-difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high-order partial differential-difference equations (or systems) of the Fermat type with two complex variables are obtained. Moreover, some examples are provided to explain that our results are precise to some extent.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

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