Open AccessEntire solutions for several Fermat type differential difference equations
Author(s) -
Minghui Zhang,
Jianbin Xiao,
Mingliang Fang
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022646
Subject(s) - trinomial , fermat's last theorem , mathematics , type (biology) , pure mathematics , differential (mechanical device) , quadratic equation , differential equation , mathematical analysis , combinatorics , physics , geometry , ecology , biology , thermodynamics
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].