Ademola, T. A.Ogundiran, M. O.Arawomo, P. O.2023-03-212023-03-2120150231-9721ui_art_ademola_stability_2015Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54(1), pp. 5-18http://ir.library.ui.edu.ng/handle/123456789/8101In this paper, criteria are established for uniform stability, uniform ultimate boundedness and existence of periodic solutions for third order nonlinear ordinary differential equations. In the investigation Lyapunov’s second method is used by constructing a complete Lyapunov function to obtain our results. The results obtained in this investigation complement and extend many existing results in the literature.enThird orderNonlinear differential equationUniform stabilityUniform ultimate boundednessPeriodic solutionsStability, boundedness and existence of periodic solutions to certain third order nonlinear differential equationsArticle