Author(s)

Akinwale L. Olutimo^*, Folashade O. Akinwole

Department of Mathematics, Lagos State University, Ojo, Nigeria.

In this paper, by defining an appropriate Lyapunov functional, we obtain sufficient conditions for which all solutions of certain real non-autonomous third order nonlinear differential equations are asymptotically stable and bounded. The results obtained improve and extend some known results in the literature.

Nonlinear Differential Equations, Third Order, Asymptotic Stability, Boundedness, Lyapunov Method

Olutimo, A. and Akinwole, F. (2016) Stability and Boundedness of Solutions of Certain Non-Autonomous Third Order Nonlinear Differential Equations. Journal of Applied Mathematics and Physics, 4, 149-155. doi: 10.4236/jamp.2016.41018.