Stability Criteria for Nonlinear Volterra Integro-Dynamic Systems

Authors

Awais Younus, Centre for Advanced studies in Pure and Applied Mathematics, Bahauddin Zakaryia University, Multan, Pakistan.Follow
Donal O’Regan, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandFollow
Nusrat Yasmin, Centre for Advanced studies in Pure and Applied Mathematics, Bahauddin Zakaryia University, Multan, Pakistan.Follow
Safia Mirza, Centre for Advanced studies in Pure and Applied Mathematics, Bahauddin Zakaryia University, Multan, Pakistan.Follow

Author Country (or Countries)

Pakistan.

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.

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://digitalcommons.aaru.edu.jo/amis/vol11/iss5/30