Uniqueness implies existence and uniqueness conditions for a class of \((k+j)\)-point boundary value problems for \(n\)-th order differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1254.34029
DOI: 10.4153/CMB-2011-117-0
author: Paul W. Eloe
author: Rahmat Ali Khan
author: Johnny Henderson
published in: Canadian Mathematical Bulletin
publication date: 2012-06-04T00:00:00Z
full work available at URL: CMB-2011-117-0
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 6042599
zbMATH Keywords: boundary value problem
zbMATH Keywords: uniqueness
zbMATH Keywords: existence
zbMATH Keywords: unique solvability
zbMATH Keywords: nonlinear interpolation
MaRDI profile type: Publication
OpenAlex ID: W2014702954
title: Uniqueness implies existence and uniqueness conditions for a class of \((k+j)\)-point boundary value problems for \(n\)-th order differential equations
review text: The paper deals with uniqueness and existence of solutions for a class of multipoint boundary value problems for \(n\)-th order ordinary differential equations. The authors consider so-called \(\left( k;j\right) \)-point boundary conditions and prove that uniqueness of solutions of the \(\left( n-j_{0};j_{0}\right) \)-point BVP implies unique solvability of the \(\left( k;j\right) \)-point BVP, for all \(1\leq j\leq j_{0}\) and \(1\leq k\leq n-j\).
reviewed by: Radu Precup
description: scientific article; zbMATH DE number 6042599