Weyl <i>ρ</i>-Almost Periodic Functions in General Metric-Reference-Cited by-同舟云学术

Weyl ρ-Almost Periodic Functions in General Metric

Published:2023-03-31 Issue:2 Volume:73 Page:465-484
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Kostić Marko¹

Affiliation:

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

Abstract

ABSTRACT In this paper, we analyze the existence of Weyl distance in general metric and various classes of multi-dimensional Weyl p-almost periodic functions in general metric. The main structural properties for the introduced classes of Weyl almost periodic type functions are established. We also provide some applications of our theoretical results to the abstract Volterra integro-differential equations.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2023-0035/pdf

Reference31 articles.

1. [1] ANDRES, J.—BERSANI, A. M.—GRANDE, R. F.: Hierarchy of almost-periodic function spaces, Rend. Mat. Appl. 26(7) (2006), 121–188.

2. [2] ARENDT, W.—BATTY, C. J. K.—HIEBER, M.—NEUBRANDER, F.: Vector-valued Laplace Transforms and Cauchy Problems, Birkhäuser/Springer Basel AG, Basel, 2001.

3. [3] BEDOUHENE, F.—IBAOUENE, Y.—MELLAH, O.—RAYNAUD DE FITTE, P.: Weyl almost periodic solutions to abstract linear and semilinear equations with Weyl almost periodic coefficients, Math. Method. Appl. Sci. 41 (2018), 9546–9566.

4. [4] BESICOVITCH, A. S.: Almost Periodic Functions, Dover Publ., New York, 1954.

5. [5] BOHR, H.–FØLNER, E.: On some types of functional spaces: A contribution to the theory of almost periodic functions, Acta Math. 76 (1944), 31–155.