Perturbation theory for the Sturm-Liouville problem with variable coefficients
type: Item
instance of: scholarly article
title: Perturbation theory for the Sturm-Liouville problem with variable coefficients
zbMATH Open document ID: 0818.34015
author: V. L. Kalitvyanskij
published in: Computational Mathematics and Mathematical Physics
publication date: 1995-05-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/0906.3504
review text: Using the example of the problem \((d^ 2/dx^ 2+ \lambda r(x)) \psi(x)= 0\), \(\alpha_ a \psi(a)- \psi'(a)= 0\), \(\alpha_ b \psi(b)+ \psi'(b)= 0\), \(r> 0\), with coefficient \(r(x)\) of fairly arbitrary form, we consider the possibility of an analytic solution of the Sturm-Liouville problem by the methods of ordinary perturbation theory.
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34E10
zbMATH DE Number: 745945
zbMATH Keywords: analytic solution
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: perturbation theory
MaRDI profile type: Publication
arXiv ID: 0906.3504
description: scientific article