Infinitely many rotating periodic solutions for damped vibration systems

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-02-27 DOI:10.1134/s0040577924020089

K. Khachnaoui

引用次数: 0

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.

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阻尼振动系统的无限多旋转周期解

摘要我们研究了一种包含冲动效应的特殊阻尼振动系统。研究的目的是确定（Q\）旋转周期解的存在性和多重性。为此，我们使用了变分法和 Bartsch 提出的喷泉定理。这项研究建立在最新发现的基础上，并通过引入显著的改进对其进行了扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.