Displaying similar documents to “Convergence of solutions of certain fourth-order nonlinear differential equations.”

Ultimate boundedness of some third order ordinary 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.