Multiple solutions for three-point boundary value problem with nonlinear terms depending on the first order derivative
type: Item
instance of: scholarly article
title: Multiple solutions for three-point boundary value problem with nonlinear terms depending on the first order derivative
zbMATH Open document ID: 1074.34011
author: Weigao Ge
author: Zengji Du
author: Chunyan Xue
published in: Archiv der Mathematik
publication date: 2005-05-13T00:00:00Z
review text: The authors study the multiplicity of the solutions for the following equation \[ u^{\prime\prime} + f(t,u,u^\prime) = 0,\quad t\in(0,1), \] with the three-point boundary value problem \[ u(0) = 0,\quad u(1) = \xi u(\eta). \] Using the method of upper and lower solutions and Leray-Schauder degree theory, they prove that there are at least three solutions.
reviewed by: Bin Liu
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2168137
zbMATH Keywords: three-point boundary value problem
zbMATH Keywords: multiple solutions
MaRDI profile type: Publication
full work available at URL: s00013-004-1196-7
OpenAlex ID: W1971534448
DOI: 10.1007/S00013-004-1196-7
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description: scientific article; zbMATH DE number 2168137