Afuwape, Anthony Uyi; Omeike, M. O. Ultimate boundedness of some third order ordinary differential equations. (English) Zbl 1265.34134 Math. Bohem. 137, No. 3, 355-364 (2012). Summary: 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 J. O. C. Ezeilo, H. O. Tejumola, R. Reissig, C. Tunç and others. The Lyapunov function used does not involve the use of signum functions as used by others. Cited in 1 Document MSC: 34C11 Growth and boundedness of solutions to ordinary differential equations Keywords:ultimate boundedness; complete Lyapunov function; third-order differential equation PDF BibTeX XML Cite \textit{A. U. Afuwape} and \textit{M. O. Omeike}, Math. Bohem. 137, No. 3, 355--364 (2012; Zbl 1265.34134) Full Text: EuDML Link