Green's function formalism extended to systems of applied mechanical differential equations posed on graphs
type: Item
instance of: scholarly article
title: Green's function formalism extended to systems of applied mechanical differential equations posed on graphs
zbMATH Open document ID: 0928.34024
DOI: 10.1023/A:1004396614908
published in: Journal of Engineering Mathematics
publication date: 2000-01-03T00:00:00Z
review text: The author extends Green's function formalism to multipoint posed boundary value problems of a special type occurring in some situations in applied mechanics, proposing a version of the method of variation of coefficients to obtain an integral representation of such problems. He applies this method to particular cases as the steady state heat conduction in an assembly of rods, the bending of multispaned beams and fields of potential of joined shells of revolution.
reviewed by: Alberto Cabada
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B45
zbMATH DE Number: 1300050
zbMATH Keywords: applied mechanics
zbMATH Keywords: piecewise homogeneous media
zbMATH Keywords: Green functions
author: Yu. A. Melnikov
MaRDI profile type: Publication
full work available at URL: a:1004396614908
OpenAlex ID: W107831282
description: scientific article; zbMATH DE number 1300050