Boundedness of solutions for Duffing-type equation (Q1297595)
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scientific article; zbMATH DE number 1329975
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of solutions for Duffing-type equation |
scientific article; zbMATH DE number 1329975 |
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Boundedness of solutions for Duffing-type equation (English)
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29 March 2000
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\textit{R. Dieckerhoff} and \textit{E. Zehnder} [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 14, No. 1, 79-95 (1987; Zbl 0656.34027)] showed that all solutions to a certain Duffing-type equation are bounded and asked if this result depends on the smoothness assumptions with respect to the time-variable. Here, it is shown that Lipschitz or Zygmund continuity of the time-depending coefficients suffices.
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Duffing-type equation
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boundedness of solution
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Moser's twist theorem
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