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Multi-dimensional Besicovitch almost periodic type functions and applications

2022/02/21 by Marko Kostić, Kostić, Marko
Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2202.10521

openalex publication_date 2022/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we analyze multi-dimensional Besicovitch almost periodic type functions. We clarify the main structural properties for the introduced classes of Besicovitch almost periodic type functions, explore the notion of Besicovitch-Doss almost periodicity in the multi-dimensional setting, and provide some applications of our results to the abstract Volterra integro-differential equations and the partial differential equations.

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