Abstract

We investigate a particular type of damped vibration systems that incorporate impulsive effects. The objective is to establish the existence and multiplicity of \(Q\)-rotating periodic solutions. To achieve this, the variational method and the fountain theorem, as presented by Bartsch, are used. The research builds upon recent findings and extends them by introducing notable enhancements.

中文翻译：

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阻尼振动系统的无穷多个旋转周期解

摘要

我们研究了一种特殊类型的包含脉冲效应的阻尼振动系统。目标是确定\(Q\)旋转周期解的存在性和多重性。为了实现这一点，使用了 Bartsch 提出的变分法和喷泉定理。该研究以最近的发现为基础，并通过引入显着的增强来扩展它们。