Triple positive solutions of nonlinear third order boundary value problems
type: Item
instance of: scholarly article
title: Triple positive solutions of nonlinear third order boundary value problems
zbMATH Open document ID: 1193.34044
published in: Taiwanese Journal of Mathematics
publication date: 2009-09-22T00:00:00Z
review text: The authors study the following nonlinear third order two--point boundary value problem \[ \begin{cases} x'''(t)=f(t,x(t))=0, \;a<t<b,\\ x(a)=x''(a)=x(b)=0. \end{cases}\tag{*} \] By using Leggett-Williams and Krasnosel'skii's fixed-point theorems, the authors obtain some criteria for the existence of three positive solutions to (*). Three examples are given to illustrate the main results.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5605703
zbMATH Keywords: boundary value problem
zbMATH Keywords: positive solution
zbMATH Keywords: fixed point theorem
author: Zeqing Liu
author: Shin Min Kang
author: Jeong Sheok Ume
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500405451
OpenAlex ID: W4239738357
DOI: 10.11650/TWJM/1500405451
description: scientific article; zbMATH DE number 5605703