Mochizuki-Trooshin type theorem for Sturm-Liouville problem on time scales

TL;DR

This paper extends the Mochizuki-Trooshin theorem to inverse Sturm-Liouville problems on arbitrary time scales, providing a unified approach to continuous and discrete cases.

Contribution

It introduces a Mochizuki-Trooshin type theorem for inverse Sturm-Liouville problems on general time scales, bridging continuous and discrete spectral theory.

Findings

Established a Mochizuki-Trooshin type theorem on time scales

Unified continuous and discrete Sturm-Liouville inverse problems

Provided theoretical framework for inverse problems on time scales

Abstract

In this paper, we consider an interior inverse Sturm-Liouville problem on time scale T and give a Mochizuki-Trooshin type theorem.