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Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay

Moussadek RemiliLynda Damerdji Oudjedi — 2014

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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.

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