Stability Results of Nonlinear Integro-differential Equations

Abstract

In this paper, the stability of a class of nonlinear integro-differential equation is investigated and analyzed. By defining a suitable Lyapunov functional we establish necessary and sufficient condition -for the stability of the zero solution. Our results extends known results in the literature.

Keywords: Integro-differential equation, Lyapunov functional, Nonlinear, Stability.