Author(s)

Akinwale L. Olutimo^1*, Daniel O. Adams²

¹Department of Mathematics, Lagos State University, Ojo, Nigeria.
²Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria.

In this paper, we study certain non-autonomous third order delay differential equations with continuous deviating argument and established sufficient conditions for the stability and boundedness of solutions of the equations. The conditions stated complement previously known results. Example is also given to illustrate the correctness and significance of the result obtained.

Asymptotic Stability, Boundedness, Lyapunov Functional, Delay Differential Equations, Third-Order Delay Differential Equations

Olutimo, A. and Adams, D. (2016) On the Stability and Boundedness of Solutions of Certain Non-Autonomous Delay Differential Equation of Third Order. Applied Mathematics, 7, 457-467. doi: 10.4236/am.2016.76041.