Abstract
We study conditions under which the solutions of nonlinear Volterra integro-dynamic system of the form xD (t) = A(t)x(t)+ Z t t0 K(t, s, x(s))D s are stable on certain time scales. We give sufficient and necessary conditions for various types of stability, including uniform stability, asymptotic stability, exponential asymptotic stability and strong stability.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/110530
Recommended Citation
Younus, Awais; O’Regan, Donal; Yasmin, Nusrat; and Mirza, Safia
(2017)
"Stability Criteria for Nonlinear Volterra Integro-Dynamic Systems,"
Applied Mathematics & Information Sciences: Vol. 11
:
Iss.
5
, Article 30.
DOI: http://dx.doi.org/10.18576/amis/110530
Available at:
https://dc.naturalspublishing.com/amis/vol11/iss5/30