A. A. Sedipkov, “Recovery of the discontinuities of the coefficient of a Sturm–Liouville operator in impedance form”, Sibirsk. Mat. Zh., 2015, Volume 56, Number 2,Pages <nobr>455

This article is cited in 1 paper

Recovery of the discontinuities of the coefficient of a Sturm–Liouville operator in impedance form

A. A. Sedipkov^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: Under study is the inverse spectral problem for a Sturm–Liouville operator in impedance form. We prove that the discontinuities of the impedance are uniquely determined by the asymptotics of the Jost function at infinity. Some algorithm is constructed that makes it possible to recover the discontinuities of the impedance.

Keywords: inverse spectral problem, impedance, Jost function.

UDC: 517.984

Received: 19.11.2013