Nonautonomous Dynamical Systems
In  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  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.
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Raffoul, Youssef and Rai, Habib, "Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals" (2016). Mathematics Faculty Publications. 78.