Yuanlin Ding, Jinrong Wang
Abstract:
In this article we study a type of conformable non-instantaneous impulsive equation
with periodic effects. We find a Cauchy matrix that can provide solutions
of linear and nonlinear problems and prove some of their properties.
Also we study the existence of periodic solution of different types of conformable
non-instantaneous impulsive differential equation. Some examples also are given
to illustrate our theoretical results.
Submitted August 18, 2021. Published November 30, 2021.
Math Subject Classifications: 34A37, 34C25.
Key Words: Periodic solution; conformable derivative; Cauchy matrix;
non-instantaneous impulsive differential equations.
DOI: https://doi.org/10.58997/ejde.2021.94
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Yuanlin Ding Department of Mathematics School of Mathematics and Statistics Guizhou University Guiyang, Guizhou 550025, China email: yldingmath@126.com |
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Jinrong Wang Department of Mathematics School of Mathematics and Statistics Guizhou University Guiyang, Guizhou 550025, China email: jrwang@gzu.edu.cn |
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