On the boundedness and the stability results for the solutions of certain third order non-linear differential equations

B. S. Ogundare

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.