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Research Article | Open Access

Weyl almost anti-periodic solution to a neutral functional semilinear differential equation

Weiwei Qi, Yongkun Li( )
Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
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Abstract

In this work, we first propose a concept of Weyl almost anti-periodic functions. Then, we make use of the contraction mapping principle and analysis techniques to research the existence of a unique Weyl almost anti-periodic solution to a neutral functional semilinear abstract differential equation. Finally, we give an example of a neutral functional partial differential equation to show the validity of the obtained results.

Keywords

Weyl almost anti-periodicityneutral functional differential equationsemilinear abstract differential equation

References

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Electronic Research Archive
Volume 31 Issue 3,
March 2023
Pages 1662-1672
DOI: 10.3934/era.2023086

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Cite this article:
Qi W, Li Y. Weyl almost anti-periodic solution to a neutral functional semilinear differential equation. Electronic Research Archive, 2023, 31(3): 1662-1672. https://doi.org/10.3934/era.2023086

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Received: 25 November 2022
Revised: 11 January 2023
Accepted: 29 January 2023
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)