Geodesic
Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 2, pp. 139-147.

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In this article, we shall establish sufficient conditions for the asymptotic stability and boundedness of solutions of a certain third order nonlinear non-autonomous delay differential equation, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Examples are given to illustrate our results.
Classification : 34C11, 34D20
Keywords: Stability; Lyapunov functional; delay differential equations; third-order differential equations 
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Remili, Moussadek; Oudjedi, Lynda Damerdji. Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 2, pp. 139-147. http://geodesic.mathdoc.fr/item/AUPO_2014__53_2_a8/