On recovering Sturm–Liouville operators with two delays-Reference-Cited by-同舟云学术

On recovering Sturm–Liouville operators with two delays

Published:2024-05-15 Issue: Volume: Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Vojvodić Biljana¹,Vladičić Vladimir²

Affiliation:

1. Faculty of Mechanical Engineering , University of Banja Luka , Banja Luka , Bosnia and Herzegovina

2. Faculty of Philosophy , University of East Sarajevo , Lukavica , Bosnia and Herzegovina

Abstract

Abstract We study the inverse spectral problems of recovering Sturm–Liouville differential operator with two constant delays a 1

{a_{1}}

and a 2

{a_{2}}

greater than one third of the interval. It has been proved that the operator can be recovered uniquely from four spectra under the condition 2 ⁢ a 1 + a 2 2 ≥ π

{2a_{1}+\frac{a_{2}}{2}\geq\pi}

, while it is not possible otherwise.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2023-0093/pdf

Reference20 articles.

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