Almost periodic functions in quantum calculus

Date

2018-12-12

Authors

Bohner, Martin
Mesquita, Jaqueline G.

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

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

Citation

Bohner, M., Mesquita, J. G. (2018). Almost periodic functions in quantum calculus. <i>Electronic Journal of Differential Equations, 2018</i>(197), pp. 1-11.

Rights

Attribution 4.0 International

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