In this
paper, some stability results were reviewed. A suitable and complete Lyapunov
function for the hardspring
model was constructed using the Cartwright method. This approach was compared
with the existing results which confirmed a superior global stability result.
Our contribution relies on its application to high damping door constructions. (2010 Mathematics Subject Classification: 34B15,
34C15, 34C25, 34K13.)
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