Existence Results of Periodic Solutions to First-Order Neutral Differential Equations on Time Scales

The purpose of this paper is to study the existence of periodic solutions for the first-order nonlinear neutral differential equation on time scales. Burton–Krasnoselskii’s fixed point theorem will be sufficiently general for application to the considered equation. An example has been carried out to...

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Bibliographic Details
Main Authors: Qiaoling Zhang, Bo Du, Xueping Hu
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/11/2405
Description
Summary:The purpose of this paper is to study the existence of periodic solutions for the first-order nonlinear neutral differential equation on time scales. Burton–Krasnoselskii’s fixed point theorem will be sufficiently general for application to the considered equation. An example has been carried out to show our results. It should be pointed out that the problem of periodic solutions is one of the current hot topics in the study of dynamic equations, which contains rich symmetry ideas and methods.
ISSN:2073-8994