Title: (ω, ρ)-periodic solutions of abstract integro-differential impulsive equations on Banach space

Authors: Michal Fečkan; Marko Kostić; Daniel Velinov

Addresses: Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814-73 Bratislava, Slovakia ' Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia ' Department for Mathematics and Informatics, Faculty of Civil Engineering, Ss. Cyril and Methodius University in Skopje, Partizanski Odredi 24, P.O. Box 560, 1000 Skopje, North Macedonia

Abstract: In this paper, we investigate the existence and uniqueness of (ω, ρ)-periodic solutions for a class of the abstract impulsive integro-differential equations on Banach space.

Keywords: (ω, ρ)-periodic solutions; periodic solutions; semi-linear integro-differential impulsive equations.

DOI: 10.1504/IJDSDE.2023.135020

International Journal of Dynamical Systems and Differential Equations, 2023 Vol.13 No.3, pp.183 - 196

Received: 06 Jun 2022
Accepted: 04 May 2023
Published online: 27 Nov 2023 *

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