Quasiperiodic Solutions of Completely Resonant Wave Equations with Quasiperiodic Forced Terms
نویسندگان
چکیده
منابع مشابه
Periodic solutions for completely resonant nonlinear wave equations
We consider the nonlinear string equation with Dirichlet boundary conditions uxx−utt = φ(u), with φ(u) = Φu+O(u) odd and analytic, Φ 6= 0, and we construct small amplitude periodic solutions with frequency ω for a large Lebesgue measure set of ω close to 1. This extends previous results where only a zero-measure set of frequencies could be treated (the ones for which no small divisors appear). ...
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متن کاملPeriodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions
We consider the nonlinear string equation with Dirichlet boundary conditions uxx−utt = φ(u), with φ(u) = Φu+O(u) odd and analytic, Φ 6= 0, and we construct small amplitude periodic solutions with frequency ω for a large Lebesgue measure set of ω close to 1. This extends previous results where only a zero-measure set of frequencies could be treated (the ones for which no small divisors appear). ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/649270