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

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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.

Sobre autores

Vjacheslav Yurko

Saratov State University

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

Bibliografia

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  8. Yurko V. A. Inverse spectral problems for differential systems on a finite interval. Results in Mathematics, 2005, vol. 48, pp. 371–386. https://doi.org/10.1007/BF03323374
  9. Yurko V. A. Recovery of nonselfadjoint differential operators on the half-line from the Weyl matrix. Mathematics of the USSR-Sbornik, 1992, vol. 72, iss. 2, pp. 413–438. https://doi.org/10.1070/SM1992v072n02ABEH002146
  10. Yurko V. A. Inverse Spectral Problems for Differential Operators and their Applications. Amsterdam, Gordon and Breach, 2000. 272 p. https://doi.org/10.1201/9781482287431

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