Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 17, pp. 1-26.

Title: (omega,c)-periodic solutions for non-instantaneous impulsive systems with unbounded
time-varying coefficients
       
Authors: Kui Liu (Guizhou Univ., Guiyang, Guizhou, China)
         Michal Feckan (Comenius Univ., Bratislava, Slovakia)
         Donal O'Regan (National Univ. of Ireland, Galway, Ireland)
         Jinrong Wang (Guizhou Univ., Guiyang, Guizhou, China)

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 04, 2022.
Math Subject Classifications: 34A37.
Key Words: Non-instantaneous impulsive systems; (omega,c)-periodic solutions; existence; uniqueness.