Almost periodic functions in quantum calculus
Date
2018-12-12
Authors
Bohner, Martin
Mesquita, Jaqueline G.
Journal Title
Journal ISSN
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