The existence of entire solutions of some systems of the Fermat type differential-difference equations

Yeyang Jiang; Zhihua Liao; Di Qiu; Yeyang Jiang; Zhihua Liao; Di Qiu

doi:10.3934/math.2022974

AIMS Mathematics

2022, Volume 7, Issue 10: 17685-17698. doi: 10.3934/math.2022974

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Research article

The existence of entire solutions of some systems of the Fermat type differential-difference equations

School of Mathematics and Computer, Jiangxi Science and Technology Normal University, No.389 Xuefu Avenue, NanChang 330038, China

Received: 02 May 2022 Revised: 19 July 2022 Accepted: 24 July 2022 Published: 02 August 2022
MSC : 30D35, 39A45

In this paper, we investigate some systems of the Fermat type differential-difference equations with polynomial coefficients and obtain the condition for the existence of finite order transcendental entire solutions and the expression for the entire solutions. We also give some corresponding examples.
- existence,
- Fermat type,
- differential-difference equation,
- finite order,
- entire solution
Citation: Yeyang Jiang, Zhihua Liao, Di Qiu. The existence of entire solutions of some systems of the Fermat type differential-difference equations[J]. AIMS Mathematics, 2022, 7(10): 17685-17698. doi: 10.3934/math.2022974

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Abstract

In this paper, we investigate some systems of the Fermat type differential-difference equations with polynomial coefficients and obtain the condition for the existence of finite order transcendental entire solutions and the expression for the entire solutions. We also give some corresponding examples.

References

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