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) no. 1

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Zbl
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. 
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) no. 1. http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a3/
@article{KJM_2006_29_1_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 - 48},
     year = {2006},
     volume = {29},
     number = {1},
     zbl = {1121.34058},
     url = {http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a3/}
}
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