Complete-closed time scales under shifts and related functions

Chao Wang; Ravi P. Agarwal; Donal O’Regan; Gaston M. N’Guérékata

doi:10.1186/s13662-018-1885-3

Complete-closed time scales under shifts and related functions

Chao Wang
, Ravi P. Agarwal
, Donal O’Regan
, Gaston M. N’Guérékata

Mathematics

Yunnan University
Texas A&M University-Kingsville
Florida Institute of Technology
Morgan State University

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

7 Citations (Scopus)

Abstract

In this paper, we introduce the concept of complete-closed time scales under translational and non-translational shifts and propose new definitions of special functions arising from dynamic equations on time scales including the concepts of almost periodic functions, almost automorphic functions and Stepanov almost automorphic functions. All the functions introduced in the paper are not only effective on periodic time scales under translations but are also valid on irregular time scales like q^Z‾ , (− q) ^Z‾ and N±12, etc.

Original language	English
Article number	429
Journal	Advances in Difference Equations
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1186/s13662-018-1885-3
Publication status	Published - 1 Dec 2018

Keywords

Complete-closed
Shift functions
Time scales

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10.1186/s13662-018-1885-3

Cite this

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title = "Complete-closed time scales under shifts and related functions",

abstract = "In this paper, we introduce the concept of complete-closed time scales under translational and non-translational shifts and propose new definitions of special functions arising from dynamic equations on time scales including the concepts of almost periodic functions, almost automorphic functions and Stepanov almost automorphic functions. All the functions introduced in the paper are not only effective on periodic time scales under translations but are also valid on irregular time scales like qZ‾ , (− q) Z‾ and N±12, etc.",

keywords = "Complete-closed, Shift functions, Time scales",

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AU - Wang, Chao

AU - Agarwal, Ravi P.

AU - O’Regan, Donal

AU - N’Guérékata, Gaston M.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - In this paper, we introduce the concept of complete-closed time scales under translational and non-translational shifts and propose new definitions of special functions arising from dynamic equations on time scales including the concepts of almost periodic functions, almost automorphic functions and Stepanov almost automorphic functions. All the functions introduced in the paper are not only effective on periodic time scales under translations but are also valid on irregular time scales like qZ‾ , (− q) Z‾ and N±12, etc.

AB - In this paper, we introduce the concept of complete-closed time scales under translational and non-translational shifts and propose new definitions of special functions arising from dynamic equations on time scales including the concepts of almost periodic functions, almost automorphic functions and Stepanov almost automorphic functions. All the functions introduced in the paper are not only effective on periodic time scales under translations but are also valid on irregular time scales like qZ‾ , (− q) Z‾ and N±12, etc.

KW - Complete-closed

KW - Shift functions

KW - Time scales

UR - https://www.scopus.com/pages/publications/85056993250

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DO - 10.1186/s13662-018-1885-3

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SN - 1687-1839

VL - 2018

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 429

ER -

Complete-closed time scales under shifts and related functions

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Keywords

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