Twin positive solutions for three-point boundary value problems of higher-order differential equations
type: Item
instance of: scholarly article
title: Twin positive solutions for three-point boundary value problems of higher-order differential equations
zbMATH Open document ID: 1079.34008
DOI: 10.1155/S0161171204309063
author: Yuji Liu
author: Weigao Ge
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/51993
review text: The authors obtain some multiplicity results for the \(n\)th-order three-point boundary value problem \[ y^{(n)}(t)+f(t,y(t),\dots, y^{(n-2)}(t))=0,\quad t\in (0,1),\tag{1} \] \[ y^{(i)}(0)=0,\quad i=0,1,\dots,n-2,\qquad y^{(n-1)}(1)=\alpha y^{(n-1)}(\eta),\tag{2} \] with \(\alpha \in [0,1)\) and \(\eta\in (0,1)\). They use a fixed-point theorem, similar to the one given by \textit{R. I. Avery, C. Chyan} and \textit{J. Henderson} [Comput. Math. Appl. 42, No. 3--5, 695--704 (2001; Zbl 1006.34022)], to prove the existence of at least two positive solutions to (1)--(2).
reviewed by: Mirosława Zima
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 2171570
zbMATH Keywords: cone
zbMATH Keywords: Leggett-Williams theorem
zbMATH Keywords: three-point boundary value problem
zbMATH Keywords: positive solution
MaRDI profile type: Publication
OpenAlex ID: W2052750340
description: scientific article; zbMATH DE number 2171570