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- W2085440146 abstract "We obtain a new variant of Moser’s small twist theorem and apply this new version to investigate the boundedness of solutions for the following semilinear Duffing equation ẍ+n2x+g(x)=p(t), where p is a 2π-periodic smooth function and lim|x|→∞x−1g(x)=0. We obtain some sharp sufficient conditions for the boundedness of all solutions to the above equation at resonance. Unlike many existing results in the literature where the function g is required to be a bounded function with asymptotic limits, our main results here allow g be unbounded or oscillatory without asymptotic limits." @default.
- W2085440146 created "2016-06-24" @default.
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- W2085440146 date "2007-07-01" @default.
- W2085440146 modified "2023-10-01" @default.
- W2085440146 title "A small twist theorem and boundedness of solutions for semilinear Duffing equations at resonance" @default.
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- W2085440146 doi "https://doi.org/10.1016/j.na.2006.04.023" @default.
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