# 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} }

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.

## 31 Citations

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