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

Authors

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

DOI:

https://doi.org/10.5556/j.tkjm.43.2012.1100

Keywords:

differential operators, non-separated boundary conditions, inverse problems

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.

Author Biography

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

Department of Mathematics

Saratov University

References

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V. A. Yurko, Recovering non-selfadjoint Sturm-Liouville operators with nonseparated boundary conditions, Schriftenreiche des Fachbereichs Mathematik, SM-DU-746, Universitaet Duisburg-Essen, 2012, 11pp.

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Published

2012-06-20

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

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Papers