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《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (9): 42-49.doi: 10.6040/j.issn.1671-9352.0.2020.350

• • 上一篇    

一类离散左定Sturm-Liouville问题的谱

曹雪琴,高承华*   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 发布日期:2021-09-13
  • 作者简介:曹雪琴(1995— ), 女, 硕士研究生, 研究方向为常微分方程与动力系统. E-mail:caoxqq@126.com*通信作者简介:高承华(1983— ), 男,教授,博士生导师,研究方向为常微分方程与动力系统. E-mail:gaokuguo@163.com
  • 基金资助:
    国家自然科学基金资助项目(11961060);甘肃省自然科学基金资助项目(18JR3RA084)

Spectrum of a class of discrete left-definite Sturm-Liouville problems

CAO Xue-qin, GAO Cheng-hua*   

  1. School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2021-09-13

摘要: 考虑了边界条件依赖特征参数的一类离散左定Sturm-Liouville问题的谱,得到了特征值的交错性以及特征函数的振荡性。

关键词: 离散左定Sturm-Liouville问题, 边界条件依赖特征参数, 交错性, 振荡性

Abstract: Considering the spectrum of a class of discrete left-definite Sturm-Liouville problems with eigenparameter dependent boundary conditions, the interlacing properties of the eigenvalues and oscillation properties of the eigenfunctions are obtained.

Key words: discrete left-definite Sturm-Liouville problem, eigenparameter-dependent boundary condition, interlacing property, oscillation property

中图分类号: 

  • O175.7
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[1] 冉茂军,高承华. Sturm-Liouville问题的特征值与特征函数的渐近公式[J]. 《山东大学学报(理学版)》, 2020, 55(2): 57-62.
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