Electron. J. Differential Equations, Vol. 2024 (2024), No. 30, pp. 1-22.

Properties of the solutions to periodic conformable non-autonomous non-instantaneous impulsive differential equations

Yuanlin Ding, Kui Liu

Abstract:
In this article, we study the properties of solutions to periodic non-autonomous conformable non-instantaneous impulsive differential equations. We use a conformable Cauchy matrix and obtain some basic properties of the periodic solution to the homogeneous and non-homogeneous problems. We consider the periodicity of solutions to nonlinear problem via a fixed theorem.

Submitted February 9, 2024. Published April 15, 2024.
Math Subject Classifications: 34A37, 34C25.
Key Words: Impulsive differential equation; conformable derivative; non-instantaneous; periodic solution.
DOI: 10.58997/ejde.2023.30

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Yuanlin Ding
Department of Mathematics
School of Mathematics and Statistics
Guizhou University
Guiyang, Guizhou 550025, China
email: yldingmath@126.com
Kui Liu
Department of Mathematics
School of Mathematics and Statistics
Guizhou University,
Guiyang, Guizhou 550025, China
email: liuk@gzu.edu.cn

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