具有无穷大共振的一类渐近线性阻尼振动问题的周期解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-22 DOI:10.1007/s12346-024-01101-0

Yuanhao Wang, Zihan Zhang, Guanggang Liu

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引用次数: 0

摘要

在本文中，我们考虑了一类在无穷远处存在共振的渐近线性阻尼振动问题。与现有结果相比，在这种共振条件下，问题对应的函数可能不满足紧凑性条件。通过结合惩罚函数技术、莫尔斯理论和两个临界点定理，我们得到了非微观周期解的存在性和多重性。

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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Periodic solutions for a class of asymptotically linear damped vibration problems with resonance at infinity

In this paper, we consider a class of asymptotically linear damped vibration problems with resonance at infinity. Compared with the existing results, under this resonance condition the functional corresponding to the problem may not satisfy the compactness condition. By combining the penalized functional technique, Morse theory and two critical point theorems, we obtain the existence and multiplicity of nontrivial periodic solutions.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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