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)
Younus, Awais; O’Regan, Donal; Yasmin, Nusrat; and Mirza, Safia
"Stability Criteria for Nonlinear Volterra Integro-Dynamic Systems,"
Applied Mathematics & Information Sciences: Vol. 11
, Article 30.
Available at: https://dc.naturalspublishing.com/amis/vol11/iss5/30