An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator

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Published: Mar 30, 2018
DOI: https://doi.org/10.5556/j.tkjm.50.2019.2735
Keywords:
Matrix Sturm-Liouville Equation inverse Spectral Problems Necessary and Sufficient Conditions Method of Spectral Mappings

Main Article Content

Natalia Pavlovna Bondarenko

Abstract

The inverse problem of spectral analysis for the non-self-adjoint matrix Sturm-Liouville operator on a finite interval is investigated. We study properties of the spectral characteristics for the considered operator, and provide necessary and sufficient conditions for the solvability of the inverse problem. Our approach is based on the constructive solution of the inverse problem by the method of spectral mappings. The characterization of the spectral data in the self-adjoint case is given as a corollary of the main result.

Article Details

How to Cite
Bondarenko, N. P. (2018). An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator. Tamkang Journal of Mathematics, 50(1), 71–102. https://doi.org/10.5556/j.tkjm.50.2019.2735
Issue
Vol. 50 No. 1 (2019)
Section
Papers
Author Biography

Natalia Pavlovna Bondarenko

Chair of Applied Mathematics and Physics,SamaraNational ResearchUniversity,34,Moskovskoye Shosse, Samara 443086, Russia.

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