Boundedness for the general semilinear Duffing equations via the twist theorem (Q649748)
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scientific article; zbMATH DE number 5986505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness for the general semilinear Duffing equations via the twist theorem |
scientific article; zbMATH DE number 5986505 |
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Boundedness for the general semilinear Duffing equations via the twist theorem (English)
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6 December 2011
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The authors study the differential equation \[ x''+\omega^2 x+\phi(x)=G_x(x,t)+p(t), \] where the functions \(\phi,G,p\) are smooth enough and \(G,p\) are \(2\pi\)-periodic in \(t\). They give sufficient conditions under which every solution is bounded.
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Hamiltonian system
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boundedness of solutions
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canonical transformation
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method of principle integral
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Moser's small twist theorem
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