Principal functions of non-selfadjoint matrix Sturm-Liouville equations
type: Item
instance of: scholarly article
title: Principal functions of non-selfadjoint matrix Sturm-Liouville equations
zbMATH Open document ID: 1236.34034
author: Cafer Coskun
author: Murat Olgun
published in: Journal of Computational and Applied Mathematics
publication date: 2011-07-22T00:00:00Z
review text: The paper investigates the properties of the principal functions corresponding to the eigenvalues and spectral singularities of the boundary value problem \[ -y'' + Q(x)y = \lambda^{2}y \,, \;\;\;x\in [0,\infty) , \] \[ y(0) = 0\,, \] where \(Q\) is a non-selfadjoint matrix-valued function.
reviewed by: Carmen Simerská
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 5931005
zbMATH Keywords: eigenvalues
zbMATH Keywords: spectral singularities
zbMATH Keywords: spectral analysis
zbMATH Keywords: Sturm-Liouville operator
zbMATH Keywords: non-selfadjoint matrix operator
MaRDI profile type: Publication
full work available at URL: j.cam.2010.12.004
OpenAlex ID: W2000850626
cites work: Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
cites work: Q5584073
cites work: Quadratic pencil of Schrödinger operators with spectral singularities: Discrete spectrum and principal functions
cites work: An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities
cites work: Non-selfadjoint difference operators and Jacobi matrices with spectral singularities
cites work: Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators
cites work: The structure of the spectrum of a system of difference equations
cites work: Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition
cites work: Spectral analysis of non-selfadjoint discrete Schrödinger operators with spectral singularities.
cites work: An inverse problem for the matrix Schrödinger equation
cites work: Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
cites work: Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
cites work: Q4539472
cites work: Non-selfadjoint matrix Sturm-Liouville operators with spectral singularities
cites work: Q5726845
cites work: Q5631640
DOI: 10.1016/J.CAM.2010.12.004
description: scientific article; zbMATH DE number 5931005