Boundedness of solutions for a class of nonlinear differential equations of second order via Moser's twist theorem (Q5958899)
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scientific article; zbMATH DE number 1721781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of solutions for a class of nonlinear differential equations of second order via Moser's twist theorem |
scientific article; zbMATH DE number 1721781 |
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Boundedness of solutions for a class of nonlinear differential equations of second order via Moser's twist theorem (English)
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17 December 2002
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boundedness
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solutions
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existence
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quasiperiodic solutions
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infinite families of periodic solutions
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The authors study the equation NEWLINE\[NEWLINE x''+B(t,x)x'+A(t,x)=p(t), NEWLINE\]NEWLINE where \(B\) and \(A\) are polynomials in \(x\) such that their coefficients are periodic in \(t\) and \(p\) is a periodic function. They apply Moser's twist theorem to give conditions for the boundedness of all solutions and for the existence of quasiperiodic solutions and of infinite families of periodic solutions with the same minimal period.
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