# Forced Vibrations of a Nonhomogeneous String

@article{Baldi2008ForcedVO,
title={Forced Vibrations of a Nonhomogeneous String},
author={Pietro Baldi and Massimiliano Berti},
journal={SIAM J. Math. Anal.},
year={2008},
volume={40},
pages={382-412}
}
• Published 25 April 2008
• Mathematics
• SIAM J. Math. Anal.
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.

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