Work

Multi-dimensional ρ -almost periodic type functions and applications

Year: 2022

Type: article

Abstract: In this paper, we analyze various classes of multi-dimensional ρ-almost periodic type functions F:I×X→Y and multi-dimensional (ω,ρ)-almost periodic type functions F:I×X→Y, where n∈N, ∅≠I⊆Rn, X and Y are complex Banach spaces and ρ is a binary relation on Y. The proposed notion is new even in the one-dimensional setting, for the functions of the form F:I→Y. The main structural properties and characterizations for the introduced classes of functions are presented. We provide certain applications of our theoretical results to the abstract Volterra integro-differential equations, as well.

Source: Applicable Analysis

DOI: 10.1080/00036811.2022.2103678

Authors: M. Fečkan, M. T. Khalladi, M. Kostić, A. Rahmani

Institutions: Comenius University Bratislava, Ahmed Draia University, University of Novi Sad

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja

Award: G832876765