Generalized ρ-Almost Periodic Sequences and Applications-Reference-Cited by-同舟云学术

Generalized ρ-Almost Periodic Sequences and Applications

Published:2023-05-18 Issue:5 Volume:7 Page:410
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Kostić Marko¹^ORCID,Chaouchi Belkacem²^ORCID,Du Wei-Shih³^ORCID,Velinov Daniel⁴^ORCID

Affiliation:

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

2. Laboratory de l’Energie et des Systèmes Intelligents, Khemis Miliana University, Khemis Miliana 44225, Algeria

3. Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

4. 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 analyze the Bohr ρ-almost periodic type sequences and the generalized ρ-almost periodic type sequences of the form F:I×X→Y, where ∅≠I⊆Zn, X and Y are complex Banach spaces and ρ is a general binary relation on Y. We provide many structural results, observations and open problems about the introduced classes of ρ-almost periodic sequences. Certain applications of the established theoretical results to the abstract Volterra integro-difference equations are also given.

Funder

Ministry of Science and Technological Development, Republic of Serbia and Bilateral project

National Science and Technology Council of the Republic of China

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/5/410/pdf

Reference49 articles.

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2. Diagana, T. (2013). Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, Springer.

3. Fink, A.M. (1974). Almost Periodic Differential Equations, Springer.

4. N’Guérékata, G.M. (2001). Almost Automorphic and Almost Periodic Functions in Abstract Spaces, Kluwer Academic Publishers.

5. Kostić, M. (2019). Almost Periodic and Almost Automorphic Type Solutions to Integro-Differential Equations, W. de Gruyter.

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