Document Type
Article
Publication Date
5-2-2016
Publication Source
Nonautonomous Dynamical Systems
Abstract
In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of nite delay Volterra Integro-dierential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10] to obtain criterion for the stability of the zero solution of the infinite delay nonlinear Volterra integro-dierential equation
x′(t) = Px(t) + t∫ −∞ C(t, s)g(x(s))ds.
Inclusive pages
14-23
ISBN/ISSN
2353-0626
Document Version
Published Version
Copyright
Copyright © 2016, The Author(s)
Publisher
De Gruyter Open
Volume
3
Issue
1
Peer Reviewed
yes
eCommons Citation
Raffoul, Youssef and Rai, Habib, "Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals" (2016). Mathematics Faculty Publications. 78.
https://ecommons.udayton.edu/mth_fac_pub/78
COinS
Comments
This document was made available for download in accordance with the publisher's policy on self-archiving. It is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND 4.0)
DOI: https://doi.org/10.1515/msds-2016-0002
Permission documentation on file.