In the present paper, we prove the boundedness of all solutions for some impulsive pendulum-type equations by Moser’s twist theorem. We also prove the existence of quasi-periodic solutions for the impulsive pendulum-type equations.

中文翻译：

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脉冲摆型方程的拉格朗日稳定性

在本文中，我们通过 Moser 扭曲定理证明了一些脉冲摆型方程的所有解的有界性。我们还证明了脉冲摆型方程的准周期解的存在性。