A constructive proof of existence and uniqueness of \(2\pi\)-periodic solutions to the Duffing equation (Q1586665)
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scientific article; zbMATH DE number 1529446
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A constructive proof of existence and uniqueness of \(2\pi\)-periodic solutions to the Duffing equation |
scientific article; zbMATH DE number 1529446 |
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A constructive proof of existence and uniqueness of \(2\pi\)-periodic solutions to the Duffing equation (English)
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26 September 2001
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Consider the Duffing equation \(x''(t)+g(t,x)=0,\) where \(g(t,x)\) is a continuous function, continuously differentiable whith respect to the second variable and \(2\pi\)-periodic with respect to the first variable. The authors present a global method for finding periodic solutions to the Duffing equation. An algorithm for finding periodic solutions and numerical examples are given.
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Duffing equation
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periodic solution
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existence and uniqueness
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algorithm of finding
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0.9612042
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0.9528995
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0.94850326
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0.94850326
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