We prove existence of vibrations of a nonhomogeneous string under a nonlinear time periodic forcing term in the case in which the forcing frequency avoids resonances with the vibration modes of the string (nonresonant case). The proof relies on a Lyapunov–Schmidt reduction and a Nash–Moser iteration scheme.

Forced vibrations of a nonhomogeneous string / Baldi, P.; Berti, M.. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 40:1(2008), pp. 382-412. [10.1137/060665038]

Forced vibrations of a nonhomogeneous string

Berti, M.
2008-01-01

Abstract

We prove existence of vibrations of a nonhomogeneous string under a nonlinear time periodic forcing term in the case in which the forcing frequency avoids resonances with the vibration modes of the string (nonresonant case). The proof relies on a Lyapunov–Schmidt reduction and a Nash–Moser iteration scheme.
2008
40
1
382
412
https://epubs.siam.org/doi/10.1137/060665038
Baldi, P.; Berti, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13705
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