Stability in Nonlinear Delay Volterra Integro-differential Systems

We employ Lyapunov functionals to the system of Volterra integrodifferential equations of the form x (t) = Px(t) int^ t _{tr} C(t; s)g(x(s))ds,and obtain conditions for the stability of the of the zero solution. In addition, we will furnish an example as an application.