Electron. J. Differential Equations, Vol. 2017 (2017), No. 26, pp. 1-7.

Inverse problems for Sturm-Liouville operators with boundary conditions depending on a spectral parameter

Murat Sat

Abstract:
In this article, we study the inverse problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter. We show that the potential q(x) and coefficient $\frac{a_1\lambda +b_1}{c_1\lambda +d_1}$ functions can be uniquely determined from the particular set of eigenvalues.

Submitted May 5, 2016. Published January 24, 2017.
Math Subject Classifications: 34B05, 34L20, 47E05.
Key Words: Inverse problem; uniqueness theorem; eigenvalue; spectral parameter.

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Murat Sat
Department of Mathematics
Faculty of Science and Art
Erzincan University
Erzincan, 24100, Turkey
email: murat_sat24@hotmail.com

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