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Research Article | Open Access

Entire solutions of two certain types of quadratic trinomial q-difference differential equations

Zhenguang Gao1, Lingyun Gao2( ), Manli Liu3
Department of Mathematics, Jinan University, Guangzhou 510632, China
College of General Education, Guangzhou Institute of Science and Technology, Guangzhou 510540, China
Department of Mathematics, South China Agricultural University, Guangzhou 510642, China
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Abstract

The main purpose of this paper is to find the explicit forms for entire solutions of two certain types of Fermat-type q-difference differential equations. Some previous results are generalized and examples are constructed to show that the results are accurate.

Keywords

entire solutionsq-difference differential equationsNevanlinna theory
CLC number: 30D35, 39B32

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 27659-27669
DOI: 10.3934/math.20231415

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Cite this article:
Gao Z, Gao L, Liu M. Entire solutions of two certain types of quadratic trinomial q-difference differential equations. AIMS Mathematics, 2023, 8(11): 27659-27669. https://doi.org/10.3934/math.20231415

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Received: 28 July 2023
Revised: 13 September 2023
Accepted: 13 September 2023
Published: 15 November 2023
©2023 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)