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

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  • Muzaffer Ateş

Abstract

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.

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  • Muzaffer Ateş, 2013. "On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-4, November.
    • Handle: RePEc:hin:jnljam:103260
    DOI: 10.1155/2013/103260
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