Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter in the boundary conditions.
type: Item
instance of: scholarly article
title: Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter in the boundary conditions.
zbMATH Open document ID: 1044.34046
author: Mahir Kadakal
author: Oktay Sh. Mukhtarov
author: Nihat Altınışık
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2003-01-01T00:00:00Z
review text: The authors derive asymptotic expressions for the eigenvalues and eigenfunctions of the Sturm-Liouville systems \(-u''+qu=\lambda u\) on \([-1,0)\) and \((0,1]\), coupled by the ``transmission'' conditions \(u(-0)=\delta u(+0)\), \(u'(-0)=\delta u'(+0)\), with boundary conditions \(\alpha _1 u(-1)+\alpha _2 u'(-1)=0= (\beta _{1}'\lambda +\beta _1 )u(1)-(\beta _{2}'\lambda + \beta _2 )u'(1)\), where \(\delta ,\alpha _i ,\beta _{i}', \beta _i\) are real numbers, \(i=1,2\).
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 1942814
zbMATH Keywords: asymptotic formulae for eigenvalues and eigenfunctions
zbMATH Keywords: coupled Sturm-Liouville systems
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1942814