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

Wenjie Hao; Qingcai Zhang; Wenjie Hao; Qingcai Zhang

doi:10.3934/math.2022870

AIMS Mathematics

2022, Volume 7, Issue 9: 15904-15916. doi: 10.3934/math.2022870

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Research article

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

Received: 29 December 2021 Revised: 29 May 2022 Accepted: 21 June 2022 Published: 28 June 2022
MSC : 39A10, 30D35, 39B32

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.
- nonlinear differential-difference equations,
- entire solutions,
- order,
- Nevanlinna theory
Citation: Wenjie Hao, Qingcai Zhang. The growth of entire solutions of certain nonlinear differential-difference equations[J]. AIMS Mathematics, 2022, 7(9): 15904-15916. doi: 10.3934/math.2022870

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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.

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