Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 863178, 12 pages
doi:10.1155/2009/863178

On the convergence of solutions of certain third-order differential equations

Ercan Tunç

Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpaşa University, 60240-Tokat, Turkey

Abstract

We establish sufficient conditions for the convergence of solutions of a certain third-order nonlinear differential equations. By constructing a Lyapunov function as the basic tool, some results which exist in the relevant literature are generalized.