Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 863178, 12 pages
Research Article

On the Convergence of Solutions of Certain Third-Order Differential Equations

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

Received 29 December 2008; Revised 24 March 2009; Accepted 5 April 2009

Academic Editor: Leonid Shaikhet

Copyright © 2009 Ercan Tunç. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.