# Ambarzumyan Type Theorems on a Time Scale

## TL;DR

This paper extends Ambarzumyan type theorems to Sturm--Liouville dynamic equations on time scales, providing conditions under which the potential function is uniquely determined by spectral data.

## Contribution

It introduces new Ambarzumyan type results for Sturm--Liouville problems on arbitrary time scales, unifying discrete and continuous cases.

## Key findings

- Established conditions for potential uniqueness on time scales.
- Unified continuous and discrete spectral theory results.
- Extended classical theorems to dynamic equations on time scales.

## Abstract

In this paper, we consider a Sturm--Liouville dynamic equation with Robin boundary conditions on time scale and investigate the conditions which guarantee that the potential function is specified.