Inverse spectral problems for differential pencils with the turning point in the finite interval
type: Item
instance of: scholarly article
title: Inverse spectral problems for differential pencils with the turning point in the finite interval
zbMATH Open document ID: 1383.34028
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2018-01-12T00:00:00Z
review text: The inverse spectral problem is studied for the boundary value problem \(L\): \[ y''+(\rho^2r(x)+i\rho q(x)+p(x))y=0,\; x\in(0,1), \] \[ y'(0)-(ih\rho+h_0)y(0)=y'(1)+(iH\rho+H_0)y(1)=0, \] where \(r(x)=\mathrm{sign}(x-a),\) \(a\in(0,1),\) and \(h\neq\pm 1,\pm i\). By the method of spectral mappings it is proved that the specification of the Weyl-type function uniquely determines \(L\).
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 6825234
zbMATH Keywords: differential pencil
zbMATH Keywords: turning point
zbMATH Keywords: inverse spectral problem
zbMATH Keywords: method of spectral mappings
author: Yasser Khalili
author: A. Neamaty
reviewed by: V. A. Yurko
MaRDI profile type: Publication
full work available at URL: s40324-016-0104-y
OpenAlex ID: W2568543207
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DOI: 10.1007/S40324-016-0104-Y
description: scientific article; zbMATH DE number 6825234