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Research Article | Open Access

Entire solutions for several Fermat type differential difference equations

Minghui Zhang, Jianbin Xiao, Mingliang Fang( )
Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China
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Abstract

This paper is devoted to investigate the existence and the forms of entire solutions of several Fermat type quadratic trinomial differential difference equations. Our results improve some results due to Liu and Yang [An. Stiint. Univ. Al. I. Cuza Iasi. Mat., 2016], Han and Lü [J. Contemp. Math. Anal., 2019], Luo, Xu and Hu [Open Math., 2021].

Keywords

entire solutiondifferential difference equationquadratic trinomial
CLC number: 39A10, 30D35, 30D20, 30D05

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 11597-11613
DOI: 10.3934/math.2022646

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Cite this article:
Zhang M, Xiao J, Fang M. Entire solutions for several Fermat type differential difference equations. AIMS Mathematics, 2022, 7(7): 11597-11613. https://doi.org/10.3934/math.2022646

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Received: 21 February 2022
Revised: 02 April 2022
Accepted: 08 April 2022
Published: 15 July 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)