Periodic motions in the Fermi—Ulam model
Published online by Cambridge University Press: 12 November 2008
Abstract
We consider the periodic solutions of the equation
satisfying −1 ≤ x ≤ 1 ẋ(t−) = −ẋ(t+) if x(t) = ±1, where f is a continuous function, periodic in t. A sequence of periodic solutions is obtained via the variational method.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 6 , December 2008 , pp. 1235 - 1259
- Copyright
- Copyright © Royal Society of Edinburgh 2008
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