Ademola, T. A.Arawomo, P. O.2023-03-202023-03-2020101311-17281314-8060ui_art_ademola_stability_2010International Journal of Applied Mathematics 23(1), pp. 11-22http://ir.library.ui.edu.ng/handle/123456789/8088This paper is concerned with uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t —∞, when p(t,x,x',x") = 0, are presented.enThird-orderDifferential equationsStabilityUniform and ultimate boundednessComplete Lyapunov functionStability and uniform ultimate boundedness of solutions of a third-order differential equationArticle