J. Nonl. Evol. Equ. Appl. 2023 (4), pp. 53-62, published on August 31, 2023:

A note on a new class of (ω, c)-periodic functions

Methode Koyabanda(a), Vivinsky Rodrigue Siopathis Sombo(a), Gaston N’Guérékata(b),

(a) Department of Mathematics and Computer Science, University of Bangui, CAR
(b) NEERLab, Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA

Received on January 19, 2023, revised February 19, 2023
Accepted with modifications on February 17, 2023, final version on March 23.

Communicated by Gisèle Mophou-Loudjom

Abstract.  In this paper, we introduce in a natural way a new class of (ω, c)-periodic functions and investigate some of their properties. We prove that the set of such functions is a Banach space under an appropriate norm and provide a composition result. We give also several examples of such functions.
Keywords: Banach space, (ω, c)-periodic function; C(n)−(ω, c)-periodic functions
2010 Mathematics Subject Classification:   42A75, 43A99.

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