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Periodic Solutions for Conformable Non-autonomous Non-instantaneous Impulsive Differential Equations

  • Yuanlin Ding and Kui Liu EMAIL logo
Published/Copyright: December 6, 2024
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Abstract

This paper studies a new type of conformable non-autonomous non-instantaneous impulsive differential equations. We present the solution by a new kinds of conformable Cauchy matrix. Also, we present its some properties. Next, we respectively discuss about the existence and uniqueness of 𝓒-periodic solutions of linear homogeneous and nonhomogeneous problems. Further, we study the nonlinear problem via fixed point theorem. Examples are also given to verify theory results.

MSC 2010: Primary 34A37

Funding statement: This work is partially supported by the National Natural Science Foundation of China (11661016).

  1. Communicated by Michal Fečkan

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Received: 2024-02-08
Accepted: 2024-04-01
Published Online: 2024-12-06
Published in Print: 2024-12-15

© 2024 Mathematical Institute Slovak Academy of Sciences

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