具有特征参数依赖边界和界面条件的Sturm-Liouville问题的特征值

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-09-04 DOI:10.3846/mma.2023.17094

Jiajia Zheng, Kun Li, Zhaowen Zheng

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引用次数: 0

摘要

研究了边界条件和界面条件下含有特征参数的正则不连续Sturm-Liouville问题。首先构造了一个新的算子，并证明了该算子在适当的Hilbert空间中的自伴随性。讨论了特征值的一些性质。最后，研究了特征值和特征函数的连续性，给出了特征值与数据在常意义上的微分表达式。

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Eigenvalues of Sturm-Liouville Problems with eigenparameter dependent boundary and Interface conditions

In this paper, a regular discontinuous Sturm-Liouville problem which contains eigenparameter in both boundary and interface conditions is investigated. Firstly, a new operator associated with the problem is constructed, and the self-adjointness of the operator in an appropriate Hilbert space is proved. Some properties of eigenvalues are discussed. Finally, the continuity of eigenvalues and eigenfunctions is investigated, and the differential expressions in the sense of ordinary or Fréchet of the eigenvalues concerning the data are given.

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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.