Ademola, T. A.Arawomo, P. O.2023-03-202023-03-2020111450-9628ui_art_ademola_stability_2011Kragujevac Journal of Mathematics 35(3), pp. 431-445http://ir.library.ui.edu.ng/handle/123456789/8091Criteria are established for uniform asymptotic stability, boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of certain third order nonlinear differential equations with the restoring nonlinear terms depend on t and multiplied by functions of t. By constructing a complete Lyapunov function, Lyapunov second method, the technique of Antoisewicz [8] and the limit point of Yoshizawa [22] are employed to obtain the results. Recent results on third order nonlinear differential equations and the results which have been discussed in [16] are special cases of our results.enThird order differential equationsUniform asymptotic stabilityUniform ultimate boundednessComplete Lyapunov functionAsymptotic behaviourArticle