Mathew Omonigho Omeike, O. O. Oyetunde, A. L. Olutimo (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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We extend, in this paper, some known results on the boundedness of solutions of certain second order nonlinear scalar differential equations to system of second order nonlinear differential equations.
Anthony Uyi Afuwape, Mathew Omonigho Omeike (2012)
Mathematica Bohemica
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We prove the ultimate boundedness of solutions of some third order nonlinear ordinary differential equations using the Lyapunov method. The results obtained generalize earlier results of Ezeilo, Tejumola, Reissig, Tunç and others. The Lyapunov function used does not involve the use of signum functions as used by others.
Mathew Omonigho Omeike (2008)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Sufficient conditions are established for the global stability of solutions of certain third-order nonlinear differential equations. Our result improves on Tunc’s [10].