On meromorphic solutions of certain differential-difference equations

Yong Liu; Chaofeng Gao; Shuai Jiang; Yong Liu; Chaofeng Gao; Shuai Jiang

doi:10.3934/math.2021599

AIMS Mathematics

2021, Volume 6, Issue 9: 10343-10354. doi: 10.3934/math.2021599

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On meromorphic solutions of certain differential-difference equations

Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, China

Received: 20 May 2021 Accepted: 06 July 2021 Published: 16 July 2021
MSC : 30D35, 39A10

In this article, we mainly use Nevanlinna theory to investigate some differential-difference equations. Our results about the existence and the forms of solutions for these differential-difference equations extend the previous theorems given by Wang, Xu and Tu ^[19].
- entire functions,
- differential-difference equations,
- value distribution,
- finite-order
Citation: Yong Liu, Chaofeng Gao, Shuai Jiang. On meromorphic solutions of certain differential-difference equations[J]. AIMS Mathematics, 2021, 6(9): 10343-10354. doi: 10.3934/math.2021599

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Abstract

In this article, we mainly use Nevanlinna theory to investigate some differential-difference equations. Our results about the existence and the forms of solutions for these differential-difference equations extend the previous theorems given by Wang, Xu and Tu ^[19].

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