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

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.

Abstract:

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.