Higher-order asymptotic approximations to the eigenvalues of the Sturm-Liouville problem in one turning point case
type: Item
instance of: scholarly article
title: Higher-order asymptotic approximations to the eigenvalues of the Sturm-Liouville problem in one turning point case
zbMATH Open document ID: 0938.34073
author: A. Jodayree Akbarfam
published in: Bulletin of the Iranian Mathematical Society
publication date: 1999-11-14T00:00:00Z
review text: The author obtains higher-order asymptotic approximations to the eigenvalues of the Sturm-Liouville problem \[ y''- q(x)y= \lambda^2f(x),\quad a\leq x\leq b,\quad y(a)= y(b)= 0, \] where for some point \(x_0\in (a,b)\): 1) \(f(x_0)= 0\), 2) \(f(x_0)=(x- x_0)^{-1}\), 3) \(q\) is continuously differentiable.
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 1346089
zbMATH Keywords: higher-order asymptotic approximations
zbMATH Keywords: eigenvalues
zbMATH Keywords: Sturm-Liouville problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1346089