Multi-dimensional almost periodic type functions and applications

2020/11/27 by Alan Chávez, Kamal Khalil, Chávez, A. +5
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2012.00543

openalex publication_date 2020/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we analyze multi-dimensional (\mathrm R_X,\mathcal B)-almost periodic type functions and multi-dimensional Bohr \mathcal B-almost periodic type functions. The main structural characterizations and composition principles for the introduced classes of almost periodic functions are established. Several applications of our abstract theoretical results to the abstract Volterra integro-differential equations in Banach spaces are provided, as well.

Citations

• Discontinuous Almost Automorphic Functions and Almost Automorphic Solutions of Differential Equations with Piecewise Constant Argument
• One-parameter semigroups for linear evolution equations
• Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity

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