Electron. J. Diff. Equ., Vol. 2016 (2016), No. 11, pp. 1-12.

Inverse spectral problems for energy-dependent Sturm-Liouville equations with finitely many point delta-interactions

Manaf Dzh. Manafov

Abstract:
In this study, inverse spectral problems for a energy-dependent Sturm-Liouville equations with finitely many point $\delta $-interactions. The uniqueness theorems for the inverse problems of reconstruction of the boundary value problem from the Weyl function, from the spectral data and from two spectra are proved and a constructive procedure for finding its solution are obtained.

Submitted August 20, 2015. Published January 6, 2016.
Math Subject Classifications: 34A55, 34B24, 34L05.
Key Words: Energy-dependent Sturm-Liouville equation; inverse spectral problems; point delta-interactions

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Manaf Dzh. Manafov
Adiyaman University
Faculty of Science and Arts
Department of Mathematics
Adiyaman, Turkey
email: mmanafov@adiyaman.edu.tr

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