Document Type
Article
Publication Date
2016
Publication Source
Advances in Dynamical Systems and Applications
Abstract
The objective of this paper is to study the periodicity properties of functions that arise in quantum calculus, which has been emerging as an important branch of mathematics due to its various applications in physics and other related fields. The paper has two components. First, a relation between two existing periodicity notions is established. Second, the existence of periodic solutions of a q-Volterra integral equation, which is a general integral form of a first order q-difference equation, is obtained. At the end, some examples are provided. These examples show the effectiveness of the relation between the two periodicity notions that is established in this paper.
Inclusive pages
67-80
ISBN/ISSN
0973-5321
Document Version
Published Version
Copyright
Copyright © 2016, Research India Publications
Publisher
Research India Publications
Volume
11
Issue
1
Place of Publication
Delhi, India
Peer Reviewed
yes
eCommons Citation
Islam, Muhammad and Neugebauer, Jeffrey T., "Existence of Periodic Solutions for a Quantum Volterra Equation" (2016). Mathematics Faculty Publications. 68.
https://ecommons.udayton.edu/mth_fac_pub/68
COinS
Comments
This document has been made available for download in accordance with the journal's open access policy. This document can be viewed in its original form on the journal's website here.
Permission documentation on file.