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Keywords:
boundedness; stability; Liapunov function; differential equations of third order
boundedness; stability; Liapunov function; differential equations of third order
Summary:
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.
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