# On a property of norming constants of Sturm-Liouville problem

**Authors:** Yuri Ashrafyan, Tigran Harutunyan

arXiv: 1705.06576 · 2017-05-19

## TL;DR

This paper explores how the norming constants in Sturm-Liouville problems depend on boundary conditions, using the Gelfand-Levitan method to establish a new connection in inverse problem solutions.

## Contribution

It introduces a novel relationship between norming constants and boundary conditions in Sturm-Liouville problems via the Gelfand-Levitan approach.

## Key findings

- Established a dependence of norming constants on boundary conditions.
- Applied Gelfand-Levitan method to inverse Sturm-Liouville problems.
- Provided insights into inverse spectral problem solutions.

## Abstract

A connection, which shows the dependence of norming constants on boundary conditions, was found using the Gelfand-Levitan method for the solution of inverse Sturm-Liouville problem.

## Full text

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## References

6 references — full list in the complete paper: https://tomesphere.com/paper/1705.06576/full.md

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Source: https://tomesphere.com/paper/1705.06576