Periodicity on Isolated Time Scales

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Jaqueline Mesquita
Sabrina Streipert

Abstract

In this work, we formulate the definition of periodicity for functions defined on isolated time scales. The introduced definition is consistent with the known formulations in the discrete and quantum calculus settings. Using the definition of periodicity, we discuss the existence and uniqueness of periodic solutions to a family of linear dynamic equations on isolated time scales. Examples in quantum calculus and for mixed isolated time scales are presented.

Recommended Citation

M. Bohner et al., "Periodicity on Isolated Time Scales," Mathematische Nachrichten, vol. 295, no. 2, pp. 259 - 280, Wiley; Wiley-VCH Verlag, Feb 2022.

The definitive version is available at https://doi.org/10.1002/mana.201900360

Department(s)

Mathematics and Statistics

Comments

Mathematisches Forschungsinstitut Oberwolfach, Grant 042/2018

Keywords and Phrases

dynamic equation; first-order equation; periodic; time scales

International Standard Serial Number (ISSN)

1522-2616; 0025-584X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Wiley; Wiley-VCH Verlag, All rights reserved.

Publication Date

01 Feb 2022