The qualitative theory of fourth-order differential equations on a graph
type: Item
instance of: scholarly article
title: The qualitative theory of fourth-order differential equations on a graph
zbMATH Open document ID: 1494.34111
author: R. Ch. Kulaev
published in: Mediterranean Journal of Mathematics
publication date: 2022-03-14T00:00:00Z
review text: This work develops a theory of disconjugacy for fourth-order equations on metric graphs. Such equations model deformation systems of beams connected by elastic pin-joints. The theory allows to obtain results analogous to those obtained in the theory of second order equations. The notion of disconjugacy is defined in several natural ways which are shown to be equivalent. In particular it is proved that an equation is disconjugate if and only if the Green function corresponding to a related boundary value problem is everywhere positive.
reviewed by: Guy Katriel
Mathematics Subject Classification ID: 34B45
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L10
zbMATH DE Number: 7488629
zbMATH Keywords: disconjugacy
zbMATH Keywords: oscillation
zbMATH Keywords: separation theorem
zbMATH Keywords: network differential equations
zbMATH Keywords: Euler-Bernoulli beams
zbMATH Keywords: Green's function
Wikidata QID: Q115390222
MaRDI profile type: Publication
full work available at URL: s00009-022-02005-6
OpenAlex ID: W4213017645
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DOI: 10.1007/S00009-022-02005-6
description: scientific article; zbMATH DE number 7488629