Almost Periodic Functions in Quantum Calculus

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Jaqueline Godoy Mesquita

Abstract

In this article, we introduce the concepts of Bochner and Bohr almost periodic functions in quantum calculus and show that both concepts are equivalent. Also, we present a correspondence between almost periodic functions defined in quantum calculus and N₀, proving several important properties for this class of functions. We investigate the existence of almost periodic solutions of linear and nonlinear q-difference equations. Finally, we provide some examples of almost periodic functions in quantum calculus.

Recommended Citation

M. Bohner and J. G. Mesquita, "Almost Periodic Functions in Quantum Calculus," Electronic Journal of Differential Equations, vol. 2018, no. 197, pp. 1 - 11, Texas State University, Dec 2018.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Bochner almost periodicity; Bohr almost periodicity; Jackson derivative; Periodicity; Quantum calculus

International Standard Serial Number (ISSN)

1072-6691

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2018 Texas State University, All rights reserved.

Creative Commons Licensing

This work is licensed under a Creative Commons Attribution 4.0 License.

Publication Date

01 Dec 2018