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math.FA2005
Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities
Vieri Mastropietro, Michela Procesi
We prove the existence of small amplitude periodic solutions, for a large Lebesgue measure set of frequencies, in the nonlinear beam equation with a weak quadratic and velocity dep…
math.FA2005★ 1 cited
Quasi-periodic solutions of completely resonant forced wave equations
Massimiliano Berti, Michela Procesi
We prove existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced nonlinear wave equations with periodic spatial boundary conditions.…