Abstract
We consider the periodic solutions of the equationsatisfying −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.
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More From: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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