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In this paper, by defining Lyapunov functionals, we investigate proper sufficient conditions for the uniform stability of the zero solution, and also for the uniform boundedness and uniform ultimate boundedness of all solutions of a certain third-order nonlinear vector delay differential equation of the type  X ˙˙˙ +  A  X ˙˙ +  G ( X ˙) +  H ( X ( t  -  r )) =  P ( t ).

Stability and boundedness of solutions of a certain n -dimensional nonlinear delay differential system of third-order