Browsing by Author "Ogundiran, M. O."
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Item Boundedness results for a certain third order nonlinear differential equation(Elsevier Inc., 2010) Ademola, T. A.; Ogundiran, M. O.; Arawomo, P. O.; Adesina, O. A.Sufficient 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.Item Stability results for the solutions of a certain third order nonlinear differential equation(Global Publishing Company, 2008) Ademola, T. A.; Ogundiran, M. O.; Arawomo, P. O.; Adesina, O. A.The paper is concerned with the uniform asymptotic stability for all 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 —∞ are givenItem Stability, boundedness and existence of periodic solutions to certain third order nonlinear differential equations(Palacký University Olomouc, 2015) Ademola, T. A.; Ogundiran, M. O.; Arawomo, P. O.In 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.