Necessary and Sufficient Conditions for Stability of Volterra Integro-dynamic Equation Systems on Time Scales

Author(s)

Youssef Raffoul, University of DaytonFollow

Document Type

Article

Publication Date

2016

Publication Source

Archivum Mathematicum

Abstract

In this research we establish necessary and sufficient conditions for the stability of the zero solution of scalar Volterra integro-dynamic equation on general time scales. Our approach is based on the construction of suitable Lyapunov functionals. We will compare our findings with known results and provides application to quantum calculus.

Inclusive pages

21-33

ISBN/ISSN

0044-8753

Document Version

Published Version

Comments

This document has been made available for download in accordance with the publisher's policy on open access.

DOI: https://doi.org/10.5817/AM2016-1-21

Permission documentation on file.

Copyright

Copyright © 2016, The Author

Publisher

Masaryk University

Volume

52

Issue

1

Peer Reviewed

yes

eCommons Citation

Raffoul, Youssef, "Necessary and Sufficient Conditions for Stability of Volterra Integro-dynamic Equation Systems on Time Scales" (2016). Mathematics Faculty Publications. 80.
https://ecommons.udayton.edu/mth_fac_pub/80