Counting periodic solutions of the forced pendulum equation (Q1585012)
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scientific article; zbMATH DE number 1526176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting periodic solutions of the forced pendulum equation |
scientific article; zbMATH DE number 1526176 |
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Counting periodic solutions of the forced pendulum equation (English)
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6 November 2000
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A classical result in complex analysis (called sometimes Jensen's inequality) and some investigations of Il'yashenko and Yakovenko (concerning zeros of solutions to linear differential equations) are applied to the forced pendulum equation. A theorem which gives an upper estimate of the number of periodic solutions is proved.
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holomorphic functions
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forced pendulum equation
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periodic solutions
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