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Periodic motions in the Fermi—Ulam model

Published online by Cambridge University Press:  12 November 2008

Mei-Yue Jiang
Mei-Yue Jiang
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China (mjiang@math.pku.edu.cn)
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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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