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Invariant tori of full dimension for higher-dimensional beam equations with almost-periodic forcing
2020
Boundary Value Problems
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In this paper, we focus on the class of almost-periodically forced higher-dimensional beam equations subject to periodic boundary conditions, where ψ(ωt) is real analytic and almost-periodic in t. We show the existence of almost-periodic solutions for this equation under some suitable hypotheses. In the proof, we improve the KAM iteration to deal with the infinite-dimensional frequency ω = (ω 1 , ω 2 , . . .). MSC: 37K55; 11K70
doi:10.1186/s13661-020-01374-9
fatcat:ktrerl26rfeubmycx4iuohkbwe