On Boundedness And Stability Of Solutions Of Certain Third Order Delay Differential Equation

Abstract

In this paper, sufficient criteria which guarantee the existence of uniform asymptotic stability and boundedness of solution of a scalar real third-order delay differential equation were established with the aid of a suitable Lyapunov function. With the Lyapunov function, conditions on the nonlinear terms to guarantee stability and boundedness of the solution and its derivative were given.