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arXiv · 1301.6448

Boundedness of solutions for a class of impact oscillators with time-denpendent polynomial potentials

Daxiong Piao·Xiang Sun
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Abstract

In this paper, we consider the boundedness of solutions for a class of impact oscillators $$ \{{array}{ll} \displaystyle \ddot{x}+x^{2n+1}+\sum_{i=0}^{2n}p_{i}(t)x^{i}=0,& \quad {\rm for}\quad x(t)> 0, x(t)\geq 0,& \dot{x}(t_{0}^{+})=-\dot{x}(t_{0}^{-}),& \quad {\rm if}\quad x(t_{0})=0, {array}. $$ where $n\in\NN^{+}$, $p_{i}(t+1)=p_{i}(t)$ and $p_{i}(t)\in C^5(\RR/\ZZ).$

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Daxiong Piao, Xiang Sun. 2013-01-28. Boundedness of solutions for a class of impact oscillators with time-denpendent polynomial potentials. https://arxiv.org/abs/1301.6448

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