Distribution of eigenvalues for the discontinuous boundary-value problem with functional-manypoint conditions
type: Item
instance of: scholarly article
title: Distribution of eigenvalues for the discontinuous boundary-value problem with functional-manypoint conditions
zbMATH Open document ID: 1023.34079
DOI: 10.1007/BF02773160
author: Mustafa Kandemir
author: Nuri Kuruoğlu
author: Oktay Sh. Mukhtarov
published in: Israel Journal of Mathematics
publication date: 2003-11-02T00:00:00Z
review text: The authors consider the problem \(ay''+cy=\lambda ^2 y\) on \([-1,0)\cup (0,1]\), where \(a\) and \(c\) are complex-valued functions, with four functional-multipoint boundary conditions. These conditions involve not only the values of \(y\) and \(y'\) at \(-1, -0, +0, 1\) and various internal points, but also certain abstract linear functionals. Sufficient conditions are derived for the existence of an infinite number of eigenvalues, and asymptotic formulae for the eigenvalues are given.
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34A36
zbMATH DE Number: 1760712
zbMATH Keywords: discontinuous multipoint boundary value problems
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02773160
OpenAlex ID: W2019870036
description: scientific article; zbMATH DE number 1760712