Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 30, pp. 1-22.

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

Authors: Yuanlin Ding (Guizhou Univ., Guiyang, Guizhou, China)
         Kui Liu (Guizhou Univ., Guiyang, Guizhou, China)-

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.