Work

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

Year: 2025

Type: article

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.

Source: Izvestiya of Saratov University Mathematics Mechanics Informatics

DOI: 10.18500/1816-9791-2025-25-3-325-331

Author: V. A. Yurko

Institution: Saratov State University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413861528

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