RECONSTRUCTION OF THE WEIGHTED DIFFERENTIAL OPERATOR WITH POINT δ-INTERACTION

In this article, we provide various uniqueness results for inverse problems of weighted differential operator with point \(\delta\)–interaction. In terms of the method of spectral mappings, we also offer step by step strategies for finding their potential and boundary conditions basing either on the Weyl function, on spectral data, or on two spectra.

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Publication Details

Journal
Eurasian Mathematical Journal
Published
2025-01-01
DOI
https://doi.org/10.32523/2077-9879-2025-16-3-57-67
Primary Topic
Mathematical functions and polynomials
Type
article
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article

RECONSTRUCTION OF THE WEIGHTED DIFFERENTIAL OPERATOR WITH POINT δ-INTERACTION

Abdullah Kablan, Manaf Dzh. Manafov
Eurasian Mathematical Journal
Mathematical functions and polynomials
article

RECONSTRUCTION OF THE WEIGHTED DIFFERENTIAL OPERATOR WITH POINT δ-INTERACTION

Abdullah Kablan, Manaf Dzh. Manafov
article en

Abstract

In this article, we provide various uniqueness results for inverse problems of weighted differential operator with point \(\delta\)–interaction. In terms of the method of spectral mappings, we also offer step by step strategies for finding their potential and boundary conditions basing either on the Weyl function, on spectral data, or on two spectra.

Eurasian Mathematical JournalVol. 16(3)
Openalex Percentile: Top 62%
Mathematical functions and polynomials
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RECONSTRUCTION OF THE WEIGHTED DIFFERENTIAL OPERATOR WITH POINT δ-INTERACTION — Abdullah Kablan, Manaf Dzh. Manafov · Eurasian Mathematical Journal (2025) | TGRS Research Map | TGRS