MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On a uniqueness theorem in the inverse Sturm-Liouville problem
Tigran N. Harutyunyan

Abstract

We introduce new supplementary data to the set of eigenvalues, to determine uniquely the potential and boundary conditions of the Sturm-Liouville problem. As a corollary we obtain extensions of some known uniqueness theorems in the inverse Sturm-Liouville problem.

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Keywords: Inverse Sturm-Liouville problem; uniqueness theorem; spectral data.

MSC: 34L20, 47E05

Pages:  139$-$147     

Volume  61 ,  Issue  2 ,  2009