This article is cited in 2 papers

Recovery of discontinuities for Sturm–Liouville operator

A. A. Sedipkov

Novosibirsk State University, Novosibirsk, Russia

Abstract: We study the inverse spectral problem for Sturm–Liouville operator with piecewise continuous coefficients. We prove that asymptotic of the Jost function determines all discontinuities of the coefficients for Sturm–Liouville operator uniquely. We give an algorithm for finding discontinuities.

Keywords: inverse spectral problem, acoustic impedance, Jost solution.

UDC: 517.984

Received: 16.12.2009

 English version: Journal of Mathematical Sciences, 2014, 198:5, 625–636