A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay-Reference-Cited by-同舟云学术

A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay

Published:2023-03-29 Issue:0 Volume:0 Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Wang Yu Ping¹,Keskin Baki²^ORCID,Shieh Chung-Tsun³

Affiliation:

1. Department of Applied Mathematics , Nanjing Forestry University , Nanjing , 210037, Jiangsu , P. R. China

2. Department of Mathematics , Faculty of Science , Cumhuriyet University , 58140 Sivas , Türkiye

3. Department of Mathematics , Tamkang University , Danshui Dist. , New Taipei City , 25137 , Taiwan

Abstract

Abstract In this paper we study a partial inverse spectral problem for non-self-adjoint Sturm–Liouville operators with a constant delay and show that subspectra of two boundary value problems with one common boundary condition are sufficient to determine the complex potential. We developed the Horváth’s method in [M. Horváth, On the inverse spectral theory of Schrödinger and Dirac operators, Trans. Amer. Math. Soc. 353 2001, 10, 4155–4171] for the self-adjoint Sturm–Liouville operator without delay into the non-self-adjoint Sturm–Liouville differential operator with a constant delay.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2020-0058/pdf

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