Uniformly Stability and Boundedness of Solutions of Second Order Nonlinear Delay Differential Equations

Abstract

In this paper we study uniformly stability and boundedness of solutions of a second order non-autonomous delay differential equation. This investigation improves some uniformly stability results on a second order ordinary differential equation to uniform stability and boundedness of the solutions of a second order non-autonomous delay differential equation. Four examples are also provided to illustrate the feasibility of our results.