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Research Article | Open Access

The existence of entire solutions of some systems of the Fermat type differential-difference equations

Yeyang Jiang( ), Zhihua Liao, Di Qiu
School of Mathematics and Computer, Jiangxi Science and Technology Normal University, No.389 Xuefu Avenue, NanChang 330038, China
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Abstract

In this paper, we investigate some systems of the Fermat type differential-difference equations with polynomial coefficients and obtain the condition for the existence of finite order transcendental entire solutions and the expression for the entire solutions. We also give some corresponding examples.

Keywords

existenceFermat typedifferential-difference equationfinite orderentire solution
CLC number: 30D35, 39A45

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AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 17685-17698
DOI: 10.3934/math.2022974

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Cite this article:
Jiang Y, Liao Z, Qiu D. The existence of entire solutions of some systems of the Fermat type differential-difference equations. AIMS Mathematics, 2022, 7(10): 17685-17698. https://doi.org/10.3934/math.2022974

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Received: 02 May 2022
Revised: 19 July 2022
Accepted: 24 July 2022
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)