(ω,c)-almost periodic type functions and applications-Reference-Cited by-同舟云学术

(ω,c)-almost periodic type functions and applications

Published:2023 Issue:2 Volume:37 Page:363-385
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Khalladi Mohammed¹,Kostic Marko²,Rahmani Abdelkader¹,Velinov Daniel³

Affiliation:

1. Department of Mathematics and Computer Sciences, University of Adrar, Adrar, Algeria

2. Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

3. Faculty of Civil Engineering, Ss. Cyril and Methodius University, Skopje, North Macedonia

Abstract

In this paper, we introduce several various classes of (?, c)-almost periodic type functions and their Stepanov generalizations. We also consider the corresponding classes of (?, c)-almost periodic type functions depending on two variables and related composition principles. We provide several illustrative examples and applications to the abstract Volterra integro-differential equations in Banach spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference26 articles.

1. M. Agaoglou, M. Fečkan, A. P. Panagiotidou, Existence and uniqueness of (ω, c)-periodic solutions of semilinear evolution equations, Int. J. Dyn. Syst. Differ. Equ., 2018.

2. E. Alvarez, A. Gómez, M. Pinto, (ω, c)-Periodic functions and mild solution to abstract fractional integro-differential equations, Electron. J. Qual. Theory Differ. Equ. 16 (2018), 1-8.

3. E. Alvarez, S. Castillo, M. Pinto, (ω, c)-Pseudo periodic functioins, first order Cauchy problem and Lasota-Wazewska model with ergodic and unbounded oscillating production of red cells, Bound. Value Probl. 106 (201), 1-20.

4. B. Basit, H. Güenzler, Recurrent solutions of neutral differential-difference systems, preprint. arXiv:1206.3821v1.

5. A. S. Besicovitch, Almost periodic functions, Dover Publ., New York, USA, 1954.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Semi- c -periodicity, c -uniform recurrence and almost automorphy in the complex plane;Quaestiones Mathematicae;2024-07-05

2. Stepanov and Weyl Classes of c-Almost Periodic Type Functions;Complex Analysis and Operator Theory;2023-10-18

3. Preface;Metrical Almost Periodicity and Applications to Integro-Differential Equations;2023-05-23

4. Metrical Almost Periodicity and Applications to Integro-Differential Equations;DEGRUYTER STUD MATH;2023-05-16