%0 Journal Article %T Lyapunov-Krasovskii stability analysis of nonlinear integro-differential equation %A Prebo Jackreece %J - %D 2018 %R 10.14419/ijamr.v7i2.10168 %X The purpose of this paper is to develop a qualitative stability analysis of a class of nonlinear integro-differential equation within the framework of Lyapunov-Krasovskii. We show that the existence of a Lyapunov-Krasovskii functional is a necessary and sufficient condition for the uniform asymptotic stability of the nonlinear Volterra integro-differential equations. %U https://www.sciencepubco.com/index.php/ijamr/article/view/10168