Forced Vibrations of a Nonhomogeneous String
نویسندگان
چکیده
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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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 40 شماره
صفحات -
تاریخ انتشار 2008