On a class of ordinary differential equations of various orders on a graph
type: Item
instance of: scholarly article
title: On a class of ordinary differential equations of various orders on a graph
zbMATH Open document ID: 1057.34504
DOI: 10.1023/A:1023286516335
author: Yu. V. Pokornij
author: T. V. Beloglazova
author: K. P. Lazarev
published in: Mathematical Notes
publication date: 2004-11-15T00:00:00Z
review text: The authors consider the Sturm-Liouville problem \((pu'')''- (qu')'= f\), \(u_{| \partial\Gamma}= 0\), with some stress balance condition, where \(\Gamma\) is a system of bars and strings with a cycle. They prove the solvability of the problem under consideration and derive some properties of the solution, such as the sign, the sign of the Green function, and some results on the corresponding spectral problem.
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34B45
Mathematics Subject Classification ID: 34L20
zbMATH DE Number: 2115586
zbMATH Keywords: elastic oscillations
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: spectral problem
zbMATH Keywords: stress balance condition
reviewed by: Klaus R. Schneider
MaRDI profile type: Publication
full work available at URL: a:1023286516335
OpenAlex ID: W47793905
description: scientific article; zbMATH DE number 2115586