On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition
type: Item
instance of: scholarly article
title: On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition
zbMATH Open document ID: 1266.34136
DOI: 10.1134/S0012266112100035
author: N. Yu. Kapustin
published in: Differential Equations
publication date: 2013-02-15T00:00:00Z
review text: The author studies the completeness, minimality and basis property of the system of root functions of the spectral problem \[ u''(x) + \lambda u(x) = 0,\quad x \in (0,1) \tag{1} \] \[ u(0) = 0,\;u'(1) = d\lambda u(1), \tag{2} \] where \(d\) is an arbitrary nonzero complex number.
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 34B09
zbMATH DE Number: 6136687
zbMATH Keywords: completeness
zbMATH Keywords: minimality
zbMATH Keywords: system of root functions
zbMATH Keywords: spectral problem
MaRDI profile type: Publication
cites work: Q3346584
cites work: On coefficients of eigenfunction expansions for boundary-value problems with a parameter in the boundary conditions
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cites work: Q3840820
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cites work: Some spectral properties of a boundary value problem with a spectral parameter in the boundary condition
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cites work: On the basis property of a system of eigenfunctions of a nonlinear spectral problem
full work available at URL: s0012266112100035
OpenAlex ID: W2052699213
description: scientific article; zbMATH DE number 6136687