Metrically piecewise continuous $\rho$-almost periodic functions and applications

Marko Kostić

Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia

Abstract: In this paper, we consider various classes of metrically piecewise continuous $\rho$-almost periodic functions. We analyze the basic structural results for the introduced classes of functions, providing also certain applications of our results to the abstract Volterra integro-differential equations in Banach spaces.

Keywords and phrases: metrically piecewise continuous $\rho$-almost periodic functions, Stepanov metrically $\rho$-almost periodic functions, abstract Volterra integro-differential equations.

MSC: 42A75, 43A60, 47D99

Received: 19.12.2023

Language: English

DOI: 10.56415/basm.y2024.i1-2.p6