The qualitative Sturm-Liouville theory on spatial networks
type: Item
instance of: scholarly article
title: The qualitative Sturm-Liouville theory on spatial networks
zbMATH Open document ID: 1088.34020
DOI: 10.1023/B:JOTH.0000012756.25200.56
author: V. L. Pryadiev
author: Yu. V. Pokornij
published in: Journal of Mathematical Sciences (New York)
publication date: 2005-06-07T00:00:00Z
review text: The authors consider boundary value problems generated by the differential expression \[ -(p(x)y')'+q(x)y=f(x) \] on the edges of a graph domain. At the pendant vertices Dirichlet boundary conditions and at the vertices of degree greater 1 the continuity conditions together with Kirchhoff-type conditions are imposed. The authors prove analogues of the Sturm comparison theorem and the Vallée-Poussin theorem (on nonoscillation criteria).
Mathematics Subject Classification ID: 34B45
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34C12
zbMATH DE Number: 2174271
zbMATH Keywords: Sturm comparison theorem
zbMATH Keywords: Vallée-Poussin theorem
zbMATH Keywords: a graph of solutions
zbMATH Keywords: Kirchhoff's law
zbMATH Keywords: Green's function
zbMATH Keywords: nonoscillation
reviewed by: V. Pivovarchik
MaRDI profile type: Publication
full work available at URL: b:joth.0000012756.25200.56
OpenAlex ID: W2006304239
description: scientific article; zbMATH DE number 2174271