Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

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


For citation:

Yurko V. A. Global solvability of the inverse spectral problem for differential systems on a finite interval. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2024, vol. 24, iss. 2, pp. 200-208. DOI: 10.18500/1816-9791-2024-24-2-200-208, EDN: ZORJSE

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
31.05.2024
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English
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Article
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539.374
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ZORJSE

Global solvability of the inverse spectral problem for differential systems on a finite interval

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

The inverse spectral problem is studied for non-selfadjoint systems of ordinary differential equations on a finite interval. We provide necessary and sufficient conditions for the global solvability of the inverse problem, along with an algorithm for constructing its solution. For solving this nonlinear inverse problem, we develop ideas of the method of spectral mappings, which allows one to construct the potential matrix from the given spectral characteristics and establish conditions for the global solvability of the inverse problem considered.

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Received: 
29.11.2022
Accepted: 
24.05.2023
Published: 
31.05.2024