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arXiv · 1705.02881

Boundedness of solutions for Duffing equation with low regularity in time

Xiaoping Yuan
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Abstract

It is shown that all solutions are bounded for Duffing equation $\ddot{x}+ x^{2n+1}+\sum_{j=0}^{2n}P_{j}(t)x^{j}=0,$ provided that for each $n+1\le j\le 2n$, $P_j(t)\in C^{\gamma}(\mathbb T)$ with $\gamma>1-\frac1n$ and for each $0\le j\le n$, $P_j\in L(\mathbb T^1)$.

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Xiaoping Yuan. 2017-05-08. Boundedness of solutions for Duffing equation with low regularity in time. https://arxiv.org/abs/1705.02881

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