On Hochstadt--Lieberman theorem for impulsive Sturm-Liouville problems with boundary conditions polynomially dependent on the spectral parameter

Authors: SEYFOLLAH MOSAZADEH, ALIASGHAR JODAYREE AKBARFAM

Abstract: In the present paper, we consider an inverse problem for the Sturm-Liouville operator with a finite number of discontinuities at interior points and boundary conditions polynomially dependent on the spectral parameter on an arbitrary finite interval, and prove the Hochstadt-Lieberman-type theorem for this problem.

Keywords: Sturm-Liouville problem, interior discontinuities, Hochstadt-Lieberman theorem, boundary conditions polynomially dependent on the spectral parameter

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