一类二阶离散左定Sturm-Liouville问题的谱

Spectra of second order discrete left-definite Sturm-Liouville problems with eigenparameter dependent boundary conditions

作者：王雅丽(西北师范大学数学与统计学院)；高承华(西北师范大学数学与统计学院)

Author：Wang Ya-Li(College of Mathematics and Statistics, Northwest Normal University)；Gao Cheng-Hua(College of Mathematics and Statistics,Northwest Normal University)

收稿日期：2019-05-23 年卷（期）页码：2020,57(4):642-646

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：离散左定Sturm-Liouville问题; 边界条件依赖特征参数; 谱; 交错; 振荡性

Key words：Discrete left-definite Sturm-Liouville problem; Eigenparameter-dependent boundary condition; Spectra; Interlace; Oscillation

基金项目：省自然科学基金(18JR3RA084)

中文摘要

本文考虑一类二阶离散左定Sturm-Liouville(S-L)问题的谱, 得到问题特征值的存在性, 交错性以及对应特征函数的振荡性.

英文摘要

In this paper, the spectra of a class of discrete second-order left definite Sturm-Liouville problem is considered, the existence and interlacing properties of the eigenvalues, the oscillation results of the eigenvalues of the problem are obtained.

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论文摘要

一类二阶离散左定Sturm-Liouville问题的谱

Spectra of second order discrete left-definite Sturm-Liouville problems with eigenparameter dependent boundary conditions