Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Yurko V. A. Solution of the inverse spectral problem for differential operators on a finite interval with complex weights. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2025, vol. 25, iss. 3, pp. 325-331. DOI: 10.18500/1816-9791-2025-25-3-325-331, EDN: FNDYXI

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
29.08.2025
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Language: 
English
Heading: 
Mathematics
Article type: 
Article
UDC: 
539.374
DOI: 
10.18500/1816-9791-2025-25-3-325-331
EDN: 
FNDYXI

Solution of the inverse spectral problem for differential operators on a finite interval with complex weights

Autors: 
Yurko Vjacheslav Anatol'evich, Saratov State University
Abstract: 

Non-self-adjoint second-order ordinary differential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established, and the inverse problem of recovering operators from their spectral characteristics is investigated. For this class of nonlinear inverse problems, an algorithm for constructing the global solution is obtained. To study this class of inverse problems, we develop ideas of the method of spectral mappings.

Key words: 
differential operators
complex weight
spectral characteristics
inverse problem
method of spectral mappings
References: 
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Received: 
30.08.2024
Accepted: 
25.09.2024
Published: 
29.08.2025
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