On solvability of three point BVPs of second order ODEs
type: Item
instance of: scholarly article
title: On solvability of three point BVPs of second order ODEs
zbMATH Open document ID: 1053.34015
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-20T00:00:00Z
review text: The author gives some solvability conditions by using the Leray-Schauder principle, discusses the nonresonant conditions between two resonant points and gives some related existence results for the three-point boundary value problem \[ x'' + f(t,x,x')=0, \quad x(0)=0=x(1)-x(t_1), \] where \(f:[0,1] \times \mathbb R^n \times \mathbb R^n \to \mathbb R^n\) is a continuous function, \(t_1\) is a constant and \(t_1 \in (0,1)\).
reviewed by: Nicolae Pop
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2093821
zbMATH Keywords: multipoint boundary value problems
zbMATH Keywords: solvability conditions
author: Yujun Dong
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.03.053
OpenAlex ID: W2071152635
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DOI: 10.1016/J.JMAA.2004.03.053
description: scientific article; zbMATH DE number 2093821