Some remarks on almost periodic time scales and almost periodic functions on time scales

TL;DR

This paper discusses and comments on the concepts of almost periodic time scales and functions introduced by Wang and Agarwal, providing insights and possibly clarifications on their recent definitions and properties.

Contribution

It offers critical remarks and analysis on the definitions of almost periodic time scales and functions proposed in recent literature.

Findings

Provides clarification on the concepts of almost periodic time scales.

Highlights potential issues or points of interest in the definitions.

Contributes to the theoretical understanding of almost periodic functions on time scales.

Abstract

In this note we communicate some important remarks about the concepts of almost periodic time scales and almost periodic functions on time scales that are proposed by Wang and Agarwal in their recent papers (Adv. Difference Equ. (2015) 2015:312; Adv. Difference Equ. (2015) 2015:296; Math. Meth. Appl. Sci. 2015, DOI: 10.1002/mma.3590).