Periodicity, almost periodicity for time scales and related functions

Chao Wang; Ravi P. Agarwal; Donal O'Regan

doi:10.1515/msds-2016-0003

Periodicity, almost periodicity for time scales and related functions

Chao Wang, Ravi P. Agarwal, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

28 Citations (Scopus)

Abstract

In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made. Furthermore, we introduce a new concept of periodic time scales in which the invariance for a time scale is dependent on an translation direction. Also some new results on periodic and changing-periodic time scales are presented.

Original language	English
Pages (from-to)	24-41
Number of pages	18
Journal	Nonautonomous Dynamical Systems
Volume	3
Issue number	1
DOIs	https://doi.org/10.1515/msds-2016-0003
Publication status	Published - 30 May 2016

Keywords

Almost periodic time scales
Changing periodic time scales
Time scales

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10.1515/msds-2016-0003

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AB - In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made. Furthermore, we introduce a new concept of periodic time scales in which the invariance for a time scale is dependent on an translation direction. Also some new results on periodic and changing-periodic time scales are presented.

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KW - Changing periodic time scales

KW - Time scales

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Periodicity, almost periodicity for time scales and related functions

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Keywords

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