不同类型阻尼振动系统的无穷多快速同斜解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-01-01 DOI:10.23952/jnfa.2020.46

M. Timoumi

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引用次数: 0

摘要

．本文研究了一类阻尼振动系统的快速同斜轨道的存在性和多重性，其中L (t)不要求一致正定或强制，W (t, x)在| x |→∞时是次二次或超二次增长，或仅满足原点附近的局部条件(即在无穷远处可以是次二次、超二次或渐近二次)。据我们所知，对于具有这些条件的系统，没有关于同斜轨道存在性和多重性的结果。

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Infinitely many fast homoclinic solutions for different classes of damped vibration systems

. In this paper, we study the existence and multiplicity of fast homoclinic orbits for the class of damped vibration systems ¨ where L ( t ) is not required to be either uniformly positive deﬁnite or coercive, and W ( t , x ) is of subquadratic or superquadratic growth as | x | → ∞ , or satisﬁes only local conditions near the origin (i.e., it can be subquadratic, superquadratic or asymptotically quadratic at inﬁnity). To the best of our knowl-edge, there is no result concerning the existence and multiplicity of homoclinic orbits for the system with the conditions.

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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.