Geodesic
New result on the ultimate boundedness of solutions of certain third-order vector differential equations
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 1, pp. 55-61

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Sufficient conditions are established for ultimate boundedness of solutions of certain nonlinear vector differential equations of third-order. Our result improves on Tunc’s [C. Tunc, On the stability and boundedness of solutions of nonlinear vector differential equations of third order].
Classification : 34B15, 34C11
Keywords: Ultimate boundedness; Lyapunov function; differential equation of third order 
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Omeike, M. O.; Afuwape, A. U. New result on the ultimate boundedness of solutions of certain third-order vector differential equations. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 1, pp. 55-61. http://geodesic.mathdoc.fr/item/AUPO_2010__49_1_a5/