Generalized almost periodic solutions of Volterra difference equations

Marko Kostic; Halis Can Koyuncuoğlu

doi:10.26637/mjm11S/010

Abstract

In this paper, we investigate several new classes of generalized \(\rho\)-almost periodic sequences in the multi-dimensional setting. We specifically analyze the class of Levitan \(\rho\)-almost periodic sequences and the class of remotely \(\rho\)-almost periodic sequences. We provide many important applications of the established theoretical results to the abstract Volterra difference equations.

Keywords:

abstract Volterra difference equations, Levitan \(\rho\)-almost periodic sequences , remotely \(\rho\)-almost periodic sequences

Mathematics Subject Classification:

39A24, 43A60, 34C27

Authors Imprint References Funding Related Articles Downloads

Marko Kostic Department of Fundamental Sciences, University of Novi Sad, Novi Sad, 21125, Serbia. https://orcid.org/0000-0002-0392-4976
Halis Can Koyuncuoğlu Department of Engineering Sciences, Izmir Katip Celebi University, Izmir, 35620, Turkey. https://orcid.org/0000-0002-8880-1552

Pages: 149-165
Date Published: 01-10-2023
Vol. 11 No. S (2023): Malaya Journal of Matematik (MJM): Special Issue Dedicated to Professor Gaston M. N'Guérékata’s 70th Birthday

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