Geodesic
Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 71-86.

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This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations.
Classification : 34K20
Keywords: Lyapunov functional; third-order vector delay differential equation; boundedness; stability 
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Fatmi, Larbi; Remili, Moussadek. Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 71-86. http://geodesic.mathdoc.fr/item/AUPO_2016__55_2_a6/