Entire solutions for several Fermat type differential difference equations

Minghui Zhang; Jianbin Xiao; Mingliang Fang

doi:10.3934/math.2022646

AIMS Mathematics (Apr 2022)

Entire solutions for several Fermat type differential difference equations

Minghui Zhang,
Jianbin Xiao,
Mingliang Fang

Affiliations

Minghui Zhang: Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China
Jianbin Xiao: Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China
Mingliang Fang: Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China

DOI: https://doi.org/10.3934/math.2022646
Journal volume & issue: Vol. 7, no. 7
pp. 11597 – 11613

Abstract

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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].

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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