Geodesic
On the boundedness and the stability results for the solutions of certain third order non-linear differential equations
Kragujevac Journal of Mathematics, Tome 29 (2006), p. 37 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we show the asymptotic stabilty of the trivial solution $x=0$ for $p\equiv 0$ and the boundedness as well as the ultimate boundedness result for $p\neq 0$ with the use of a single complete Lyapunov function. The results obtained here improves on the results already obtained for this class of third order nonlinear differential equations.
Classification : 34D20 34C11
Keywords: Single complete Lyapunov function, boundedness, third order non-linear differential equations, stability 
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     author = {B. S. Ogundare},
     title = {On the boundedness and the stability results for the solutions of certain third order non-linear differential equations},
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B. S. Ogundare. On the boundedness and the stability results for the solutions of certain third order non-linear differential equations. Kragujevac Journal of Mathematics, Tome 29 (2006), p. 37 . http://geodesic.mathdoc.fr/item/KJM_2006_29_a3/