Electron. J. Differential Equations, Vol. 2022 (2022), No. 17, pp. 1-26.

(omega, c)-periodic solutions for non-instantaneous impulsive systems with unbounded time-varying coefficients

Kui Liu, Michal Feckan, Donal O'Regan, Jinrong Wang

Abstract:
In this article, we study (omega, c)-periodic solutions for non-instantaneous impulsive systems and the time-varying coefficient A(t) is a family of unbounded linear operators. We show the existence and uniqueness of (omega, c)-periodic solutions using a fixed point theorem. An example is given to illustrate our results.

Submitted December 1, 2021. Published March 4, 2022.
Math Subject Classifications: 34A37.
Key Words: Non-instantaneous impulsive systems; (omega, c)-periodic solutions; existence; uniqueness.
DOI: https://doi.org/10.58997/ejde.2022.17

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Kui Liu
Department of Mathematics
Guizhou University
Guiyang, Guizhou 550025, China
email: liuk180916@163.com
Michal Feckan
Department of Mathematical Analysis and Numerical Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University in Bratislava
Mlynska dolina, 842 48 Bratislava, Slovakia
email: Michal.Feckan@fmph.uniba.sk
Donal O'Regan
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland
Galway, Ireland
email: donal.oregan@nuigalway.ie
Jinrong Wang
Department of Mathematics
Guizhou University
Guiyang, Guizhou 550025, China
email: jrwang@gzu.edu.cn

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