Infinitely many periodic solutions of Duffing equations with singularities via time map (Q1724036)
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scientific article; zbMATH DE number 7022315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely many periodic solutions of Duffing equations with singularities via time map |
scientific article; zbMATH DE number 7022315 |
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Infinitely many periodic solutions of Duffing equations with singularities via time map (English)
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14 February 2019
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Summary: We study the periodic solutions of Duffing equations with singularities \(x'' + g(x) = p(t)\). By using Poincaré-Birkhoff twist theorem, we prove that the given equation possesses infinitely many positive periodic solutions provided that \(g\) satisfies the singular condition and the time map related to autonomous system \(x'' + g(x) = 0\) tends to zero.
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