Ademola, T. A.Ogundiran, M. O.Arawomo, P. O.Adesina, O. A.2023-03-202023-03-2020101873-56490096-3003ui_art_ademola_boundedness_2010Applied Mathematics and Computation 216, pp. 3044–3049http://ir.library.ui.edu.ng/handle/123456789/8090Sufficient conditions for the existence of solutions to boundedness and ultimate boundedness problems associated to a certain third order nonlinear differential equation are given by means of the Lyapunov’s second method. The appropriate Lyapunov function is given explicitly. Our results complement some well known results on the third order differential equations in the literature.enBounded solutionsUltimate bounded solutionLyapunov functionsThird order differential equationsArticle