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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title = "Periodicity, almost periodicity for time scales and related functions",

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.",

keywords = "Almost periodic time scales, Changing periodic time scales, Time scales",

author = "Chao Wang and Agarwal, \{Ravi P.\} and Donal O'Regan",

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year = "2016",

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AU - Wang, Chao

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

PY - 2016/5/30

Y1 - 2016/5/30

N2 - 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.

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.

KW - Almost periodic time scales

KW - Changing periodic time scales

KW - Time scales

UR - https://www.scopus.com/pages/publications/85030453165

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DO - 10.1515/msds-2016-0003

M3 - Article

AN - SCOPUS:85030453165

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SP - 24

EP - 41

JO - Nonautonomous Dynamical Systems

JF - Nonautonomous Dynamical Systems

IS - 1

ER -

Periodicity, almost periodicity for time scales and related functions

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Keywords

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