A unique limiting Green's function for a class of singular boundary value problems
type: Item
instance of: scholarly article
title: A unique limiting Green's function for a class of singular boundary value problems
zbMATH Open document ID: 0806.39003
DOI: 10.1016/0898-1221(94)00096-4
author: Paul W. Eloe
author: Eric R. Kaufmann
publication date: 1994-09-21T00:00:00Z
review text: The authors consider the linear \(n\)th order difference equation \((*)\) \(Pu(m) = 0\) together with some homogeneous two-point boundary conditions \(T(b,i)=0\) satisfied at the end points \(a,b\) (so, \(b-a\) is a positive integer). Assuming a right disfocality of \((*)\) on \(\{n \geq a\}\) as well as a sign condition on the coefficients of \(P\), the authors analyze the behavior of the Green functions for the \((b,i)\)-family of the boundary value problem and, particularly, obtain a unique limiting Green function as \(b \to \infty\). Its properties are also investigated.
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 641434
zbMATH Keywords: singular boundary value problem
zbMATH Keywords: linear difference equation
zbMATH Keywords: right disfocality
zbMATH Keywords: Green functions
reviewed by: Elena Trofimchuk
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)00096-4
OpenAlex ID: W2087150710
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 641434