Boundedness of solutions for a class of reversible systems. (Q1412489)
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scientific article; zbMATH DE number 2009007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of solutions for a class of reversible systems. |
scientific article; zbMATH DE number 2009007 |
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Boundedness of solutions for a class of reversible systems. (English)
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25 November 2003
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The author considers the nonlinear system \[ x'= -\varphi_p(y)+ e(t),\quad y'= \varphi_q(x)- f(x)\varphi_p(y)+ f(x) e(t),\tag{1} \] with \(\varphi_r(s)=| s|^{r-2}s\), \(r> 1\). Sufficient conditions for the boundedness of all solutions of (1) are derived. The proof is based on Moser's twist theorem.
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Boundedness of solutions
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Reversible systems
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Moser's twist theorem
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