Exact solutions of a class of second-order nonlocal boundary value problems and applications
type: Item
instance of: scholarly article
title: Exact solutions of a class of second-order nonlocal boundary value problems and applications
zbMATH Open document ID: 1189.34005
author: Zengqin Zhao
published in: Applied Mathematics and Computation
publication date: 2009-12-16T00:00:00Z
review text: The author considers the second-order linear differential equation \[ -u''+ k^2 u= f(t),\quad t\in [a,b] \] subject to different multipoint boundary conditions. He presents the exact solution by means of Green's function. As applications he studies uniqueness and iteration of the positive solutions for a nonlinear singular second-order \(m\)-point boundary value problem.
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 5648701
zbMATH Keywords: second-order differential equation
zbMATH Keywords: nonlocal boundary
zbMATH Keywords: value problem
zbMATH Keywords: exact solution
zbMATH Keywords: iterative solution
MaRDI profile type: Publication
full work available at URL: j.amc.2009.07.043
OpenAlex ID: W1988912587
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DOI: 10.1016/J.AMC.2009.07.043
description: scientific article; zbMATH DE number 5648701