Application of Local Linking to Asymptotically Linear Wave Equations with Resonance
نویسندگان
چکیده
منابع مشابه
Application of local linking to asymptotically linear wave equations with resonance II
Existence of a time-periodic solution to a non-linear wave equation with resonance is established by a variational method. We consider the 2πperiodic weak solution to a wave equation u(x, t) = h(x, t, u(x, t)) of space dimension 1, where h(x, t, ξ) is asymptotically linear in ξ both as ξ → 0 or ξ → ∞, with the co-efficient as ξ → ∞ belonging to σ( ). It was proved that there are some cases, whe...
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2006
ISSN: 0387-3870
DOI: 10.3836/tjm/1166661865