Address: Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
E-mail: moomeike@yahoo.com
Abstract: The paper studies the equation \begin{equation*}\dddot{X}+\Psi (\dot{X})\ddot{X}+\Phi (X)\dot{X}+cX=P(t) \end{equation*} in two cases: (i) $P(t)\equiv 0$, (ii) $P(t)\ne 0$. In case (i), the global asymptotic stability of the solution $X=0$ is studied; in case (ii), the boundedness of all solutions is proved.
AMSclassification: primary 34C11; secondary 34D05, 34D20, 34D40.
Keywords: boundedness, stability, Liapunov function, differential equations of third order.
DOI: 10.5817/AM2014-2-101