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arXiv · 1806.00577

Lagrange stability for impulsive Duffing equations

Jianhua Sun·Lu Chen·Xiaoping Yuan
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Abstract

This work discusses the boundedness of solutions for impulsive Duffing equation with time-dependent polynomial potentials. By KAM theorem, we prove that all solutions of the Duffing equation with low regularity in time undergoing suitable impulses are bounded for all time and that there are many (positive Lebesgue measure) quasi-periodic solutions clustering at infinity. This result extends some well-known results on Duffing equations to impulsive Duffing equations.

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Jianhua Sun, Lu Chen, Xiaoping Yuan. 2018-06-02. Lagrange stability for impulsive Duffing equations. https://arxiv.org/abs/1806.00577

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