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381965

The inverse spectral problem of some singular version of one-dimensional Schro¨dinger operator with explosive factor in finite interval

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Last updated: 05 Jan 2025

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Abstract

The inverse spectral problem is investigated for some singular version of one-dimensional
Schro¨dinger operator with explosive factor on finite interval ½0; p. In the present paper the explosive
factor subdivides the problem into two parts, with different characteristic, which causes a lot of analytical difficulties. We define the spectral data of the problem, derive the main integral equation and
show that the potential is uniquely recovered for both parts of the problem.

DOI

10.1016/j.joems.2014.05.007

Keywords

Dirichlet problem, inverse problem, Contour integration, spectral data, Main integral equation (Gelfand–Levitan integral equation), Uniqueness theorem

Authors

First Name

Zaki F.A.

Last Name

El-Raheem

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-26

Publish Date

2015-07-01

Page Start

271

Page End

277

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 2_Pages 271-277.pdf

PDF . 503.1kB

Link

https://joems.journals.ekb.eg/article_381965.html

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https://joems.journals.ekb.eg/service?article_code=381965

Order

381,965

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

The inverse spectral problem of some singular version of one-dimensional Schro¨dinger operator with explosive factor in finite interval

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Article

Created At

21 Dec 2024