Stability and boundedness properties of solutions of certain system of third order delay differential equation

Stability and boundedness properties of solutions of certain...

Abstract

This paper is concerned with certain system of third order delay differential equation. By using a suitable Lyapunov-Krasovskii functional as a tool, we investigate conditions for the asymptotic stability of the trivial solution and uniform ultimate boundedness of solutions of the equation considered. The results in this paper in some ways generalize and improve on some results found in literature.