An inverse spectral problem for non-selfadjoint Sturm-Liouville operators with nonseparated boundary conditions

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Published: Jun 20, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.1100
Keywords:
differential operators non-separated boundary conditions inverse problems

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Vjacheslav Yurko
Department ofMathematics, Saratov University, Astrakhanskaya 83, Saratov 410012, Russia.

Abstract

Non-selfadjoint Sturm-Liouville operators on a finite interval with nonseparated boundary conditions are studied. We establish properties of the spectral characteristics and investigate an inverse problem of recovering the operators from their spectral data. For this inverse problem we prove a uniqueness theorem and provide a procedure for constructing the solution.

Article Details

How to Cite
Yurko, V. (2012). An inverse spectral problem for non-selfadjoint Sturm-Liouville operators with nonseparated boundary conditions. Tamkang Journal of Mathematics, 43(2), 289–299. https://doi.org/10.5556/j.tkjm.43.2012.1100
Issue
Vol. 43 No. 2 (2012)
Section
Papers
Author Biography

Vjacheslav Yurko, Department ofMathematics, Saratov University, Astrakhanskaya 83, Saratov 410012, Russia.

Department of Mathematics

Saratov University

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