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Research Article | Open Access

The growth of entire solutions of certain nonlinear differential-difference equations

Wenjie Hao, Qingcai Zhang( )
School of Mathematics, Renmin University of China, Beijing 100872, China
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Abstract

This paper is concerned with entire solutions of nonlinear differential-difference equations. We will characterize the growth of entire solutions for two classes of nonlinear differential-difference equations. Our results will contribute to the generalization and completion of some results obtained recently. The results are explained by various examples and remarks.

Keywords

nonlinear differential-difference equationsentire solutionsorderNevanlinna theory
CLC number: 39A10, 30D35, 39B32

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 15904-15916
DOI: 10.3934/math.2022870

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Cite this article:
Hao W, Zhang Q. The growth of entire solutions of certain nonlinear differential-difference equations. AIMS Mathematics, 2022, 7(9): 15904-15916. https://doi.org/10.3934/math.2022870

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Received: 29 December 2021
Revised: 29 May 2022
Accepted: 21 June 2022
Published: 15 September 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)