Solvability of a third-order two-point boundary value problem in Banach spaces
type: Item
instance of: scholarly article
title: Solvability of a third-order two-point boundary value problem in Banach spaces
zbMATH Open document ID: 1121.34019
author: Shihuang Hong
published in: Journal of Mathematics of Kyoto University
publication date: 2007-02-05T00:00:00Z
review text: The author studies the following two-point boundary value problem for a third order differential inclusion \[ -u'''(t) \in F(t,u(t),u'(t)),\quad 0\leq t \leq 1,\quad u(0)=u'(0)=u'(1)=0, \] where \(F:[0,1]\times E \times E\to 2^E\) is a multifunction and \(E\) is an ordered Banach space. The author considers the case in which the right hand side can be discontinuous and, under suitable assumptions, the existence of solutions is established via a fixed point theorem.
reviewed by: Francesca Papalini
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34G25
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 5121925
zbMATH Keywords: Differential inclusions
zbMATH Keywords: two-point problem
zbMATH Keywords: fixed point theorem
zbMATH Keywords: ordered Banach space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250283005
OpenAlex ID: W1543084978
DOI: 10.1215/KJM/1250283005
description: scientific article; zbMATH DE number 5121925