Electron. J. Diff. Equ., Vol. 2015 (2015), No. 26, pp. 1-10.

Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction

Manaf Dzh. Manafov, Abdullah Kablan

Abstract:
In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given problem.

Submitted March 19, 2014. Published January 28, 2015.
Math Subject Classifications: 34A55, 34B24, 34L05, 47E05.
Key Words: Energy-dependent Sturm-Liouville equations; inverse spectral and inverse nodal problems; point delta-interaction.

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Manaf Dzh. Manafov
Faculty of Arts and Sciences, Department of Mathematics
Adiyaman 02040, Turkey
email: mmanafov@adiyaman.edu.tr
Abdullah Kablan
Faculty of Arts and Sciences, Department of Mathematics
Gaziantep University,
Gaziantep 27310, Turkey
email: kablan@gantep.edu.tr

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