Displaying similar documents to “On the sign definiteness of Lyapunov functionals and stability of linear delay equations.”

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

Moussadek Remili, Lynda Damerdji Oudjedi (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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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.