The bounds of eigenvalue for complex singular boundary value problems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-09

Fu Sun, Xiao ue Han

引用次数: 0

Abstract

. The present paper deals with “the perturbation of Legendre eigenvalue problem” with limit-circle type non-oscillation endpoints. The dissipative operators in limit-circle case are studied. Lower bounds on the real parts of all eigenvalues and the upper bounds on the imaginary parts of the non-real eigenvalues for this eigenvalue problem associated to a special separated boundary condition (see the below in ( ?? )) are obtained through a new method, partly inspired by the estimates obtained in Sun and Qi (Proc. Roy. Soc. Edinburgh A, 150:2607-2619, 2020).

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复奇异边值问题的特征值界

。本文讨论了具有极限圆型非振荡端点的“勒让德特征值问题的摄动”。研究了极限环情况下的耗散算子。所有特征值的实部下界和非实特征值的虚部上界与一个特殊的分离边界条件相关联的特征值问题(见下面的(?? ?)))是通过一种新方法得到的，部分灵感来自Sun和Qi (Proc. Roy)的估计。Soc。吉林大学学报(自然科学版)，2016)。

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

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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