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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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.
@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/}
}
TY - JOUR AU - B. S. Ogundare TI - On the boundedness and the stability results for the solutions of certain third order non-linear differential equations JO - Kragujevac Journal of Mathematics PY - 2006 SP - 37 EP - 48 VL - 29 IS - 1 UR - http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a3/ ID - KJM_2006_29_1_a3 ER -
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/