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Journal of Applied Mathematics
Volume 2013, Article ID 103260, 4 pages
Research Article

On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations

Department of Electrical and Electronics Engineering, Yüzüncü Yıl University, 65080 Van, Turkey

Received 7 June 2013; Revised 12 September 2013; Accepted 28 September 2013

Academic Editor: Hector Pomares

Copyright © 2013 Muzaffer Ateş. 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 studied the global stability and boundedness results of third-order nonlinear differential equations of the form . Particular cases of this equation have been studied by many authors over years. However, this particular form is a generalization of the earlier ones. A Lyapunov function was used for the proofs of the two main theorems: one with and the other with . The results in this paper generalize those of other authors who have studied particular cases of the differential equations. Finally, a concrete example is given to check our results.