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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
@article{KJM_2006_29_a3,
     author = {B. S. Ogundare},
     title = {On the boundedness and the stability results for the solutions of certain third order non-linear differential equations},
     journal = {Kragujevac Journal of Mathematics},
     pages = {37 },
     year = {2006},
     volume = {29},
     zbl = {1121.34058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2006_29_a3/}
}
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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/