An ordinary differential equation arises in plane curve evolution (Q2711243)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An ordinary differential equation arises in plane curve evolution |
scientific article |
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14 May 2002
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periodic solutions
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An ordinary differential equation arises in plane curve evolution (English)
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The ordinary differential equation \(u''+f(u)=0\) is considered. Under some assumptions on \(f(x)\) it is proved that any nontrivial positive solution to the equation in \(\mathbb{R}\) is periodic. An example is shown.
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