The bounds of eigenvalue for complex singular boundary value problems

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities 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

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.