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

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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.

About the authors

Vjacheslav Anatol'evich Yurko

Saratov State University

ORCID iD: 0000-0002-4853-0102
SPIN-code: 5783-9055
Scopus Author ID: 6701556903
ResearcherId: D-4755-2013
Astrahanskaya str., 83, Saratov, Russia

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