Ultimate boundedness of some third order ordinary differential equations

Afuwape, Anthony Uyi ; Omeike, M. O.

Mathematica Bohemica, Tome 137 (2012) no. 3, pp. 355-364

Abstract (VO)

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.

Détail

DOI : 10.21136/MB.2012.142900

Classification : 34C11, 34K20, 37B25
Keywords: ultimate boundedness; complete Lyapunov function; differential equation of third-order

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