An eigenvalue problem with singularity for fourth order ordinary differential equation
type: Item
instance of: scholarly article
title: An eigenvalue problem with singularity for fourth order ordinary differential equation
zbMATH Open document ID: 0949.34067
author: Ta Van Dinh
published in: Vietnam Journal of Mathematics
publication date: 2000-05-15T00:00:00Z
review text: The paper deals with the following eigenvalue problem \[ (pu'')''+qu= \lambda u, \quad 0<x<1, \qquad (pu'')''(0) = \lambda u(0), \quad u''(0) = u(1) = u'(1) = 0. \] The author proves the existence of a countable set of eigenvalues. The arguments are essentially based on the weak formulation of the problem.
reviewed by: Abdelkader Boucherif
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 49R50
zbMATH DE Number: 1369977
zbMATH Keywords: fourth-order differential equation
zbMATH Keywords: singular problem
zbMATH Keywords: weak formulation
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenfunctions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1369977