The minimal period problem for the classical forced pendulum equation (Q1025014)
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scientific article; zbMATH DE number 5566241
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The minimal period problem for the classical forced pendulum equation |
scientific article; zbMATH DE number 5566241 |
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The minimal period problem for the classical forced pendulum equation (English)
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18 June 2009
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The author considers the classical forced pendulum equation, where the forcing term is a \(T\)-periodic function and studies the existence/nonexistence of a periodic solution with prescribed minimal period \(pT\), where \(p\) is a positive integer greater than one. By using the critical point theory and a new decomposition technique, the author obtains a better estimate of the values of a variational functional at critical points.
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pendulum equation
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critical point theory
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periodic solution
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minimal period
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subharmonic solution
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