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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 11 > No. 5


Stability Criteria for Nonlinear Volterra Integro-Dynamic Systems

PP: 1509-1517
Awais Younus, Donal O’Regan, Nusrat Yasmin, Safia Mirza,
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.

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