Lyapunov-Krasovskii stability analysis of nonlinear integro-differential equation


  • Prebo Jackreece Department of mathematics/StatisticsUniversity of Port Harcourt, Nigeria





Lyapunov-Krasovskii Functional, Uniform Asymptotic Stability, Integro-Differential Equation.


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.


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