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

Weiwei Qi; Yongkun Li; Weiwei Qi; Yongkun Li

doi:10.3934/era.2023086

Electronic Research Archive

2023, Volume 31, Issue 3: 1662-1672. doi: 10.3934/era.2023086

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Research article

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

Received: 25 November 2022 Revised: 11 January 2023 Accepted: 29 January 2023 Published: 01 February 2023

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.
- Weyl almost anti-periodicity,
- neutral functional differential equation,
- semilinear abstract differential equation
Citation: Weiwei Qi, Yongkun Li. Weyl almost anti-periodic solution to a neutral functional semilinear differential equation[J]. Electronic Research Archive, 2023, 31(3): 1662-1672. doi: 10.3934/era.2023086

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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.

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