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A Landesman-Lazer type condition and the long time behaviour of floating plates. (English) Zbl 0861.35014
This paper deals with the long time behaviour of the small transversal vibrations of floating thin plates. The authors prove that under a Landesman-Lazer type condition (which eliminates large oscillations due to resonance phenomena), the process is dissipative in the sense of Levinson. Moreover, under certain additional assumptions, one proves that once a solution is in the absorbing set, it oscillates around the rest position.
Reviewer: C.Popa (Iaşi)

MSC:
35B40 Asymptotic behavior of solutions to PDEs
74H45 Vibrations in dynamical problems in solid mechanics
35B35 Stability in context of PDEs
74K20 Plates
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References:
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