Inverse spectral problem of Sturm-Liouville equation with many frozen arguments

TL;DR

This paper investigates the inverse spectral problem for Sturm-Liouville operators with multiple frozen arguments, establishing uniqueness theorems and providing numerical simulations to demonstrate the approach.

Contribution

It introduces new uniqueness results for the inverse spectral problem involving Sturm-Liouville operators with frozen arguments, expanding existing theoretical understanding.

Findings

Proved uniqueness theorems under certain assumptions

Developed a numerical simulation method for the inverse problem

Enhanced understanding of spectral properties with frozen arguments

Abstract

This research was devoted to investigate the inverse spectral problem of Sturm-Liouville operator with many frozen arguments. Under some assumptions, the authors obtained uniqueness theorems. At the end, a numerical simulation for the inverse problem was presented.