The number of periodic solutions of polynomial differential equations (Q1966255)
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scientific article; zbMATH DE number 1407581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of periodic solutions of polynomial differential equations |
scientific article; zbMATH DE number 1407581 |
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The number of periodic solutions of polynomial differential equations (English)
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28 February 2000
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The main result of this paper is as follows: The scalar differential equation \[ {dx\over dt}= x^{2n+1}+ a(t) x^2+ b(t) x+ c(t), \] where \(a\), \(b\) and \(c\) are smooth \(T\)-periodic functions, has at most three \(T\)-periodic solutions.
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periodic solutions
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upper bound
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