Periodic solutions of the Poincaré functional equation: existence (Q1998620)
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scientific article; zbMATH DE number 7318446
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions of the Poincaré functional equation: existence |
scientific article; zbMATH DE number 7318446 |
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Periodic solutions of the Poincaré functional equation: existence (English)
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7 March 2021
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The author finds necessary and sufficient conditions on a function \(f : I \rightarrow I\), where \(I\) is a compact real interval, for the Poincaré functional equation \(\psi (kx) = f(\psi(x))\) to have a cosine-like solution \(\psi : {\mathbb R} \rightarrow {\mathbb R}\).
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Poincaré functional equation
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periodic function
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fluctuating function
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duplication formula
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cosine function
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