Discrete Sturm-Liouville problems: singularity of the $n$-th eigenvalue with application to Atkinson type

Guojing Ren, Hao Zhu

In this paper, we characterize singularity of the $n$-th eigenvalue of self-adjoint discrete Sturm-Liouville problems in any dimension. For a fixed Sturm-Liouville equation, we com…