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Displaying similar documents to “Boundedness of Solutions of Certain System of Second-order Ordinary Differential Equations”

New result on the ultimate boundedness of solutions of certain third-order vector differential equations

Mathew Omonigho Omeike, A. U. Afuwape (2010)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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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].

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.

The nonlinear limit-point/limit-circle problem for higher order equations

Miroslav Bartušek, Zuzana Došlá, John R. Graef (1998)

Archivum Mathematicum

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We describe the nonlinear limit-point/limit-circle problem for the n -th order differential equation y ( n ) + r ( t ) f ( y , y ' , ⋯ , y ( n - 1 ) ) = 0 . The results are then applied to higher order linear and nonlinear equations. A discussion of fourth order equations is included, and some directions for further research are indicated.