On S-shaped bifurcation curves for multiparameter positone problems
type: Item
instance of: scholarly article
title: On S-shaped bifurcation curves for multiparameter positone problems
zbMATH Open document ID: 0817.34012
DOI: 10.1016/0096-3003(94)90174-0
author: V. Pereyra
published in: Applied Mathematics and Computation
publication date: 1995-03-09T00:00:00Z
review text: This paper is devoted to the study of the existence of multiple positive solutions of the two-point boundary value problem \(-U''(x)= \lambda f(U(x))\), \(0< x< 1\), \(U(0)= 0= U(1)+ \alpha U'(1)\), where \(\lambda> 0\), \(\alpha> 0\), and \(f\) is a smooth function with \(f> 0\) on \([0,r]\) for some \(r\in (0,+\infty)\). The authors consider the case when \(f\) is initially convex and then concave. Finally, they apply their results to nonlinearities arising in combustion theory and in chemical theory.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 720451
zbMATH Keywords: existence of multiple positive solutions
zbMATH Keywords: two-point boundary value problem
zbMATH Keywords: combustion theory
reviewed by: Abdelkader Boucherif
MaRDI profile type: Publication
full work available at URL: 0096-3003(94)90174-0
OpenAlex ID: W1967162168
cites work: Q5531285
cites work: S-shaped bifurcation curves
cites work: A quadrature method for classes of multi–parameter two point boundary value problems
cites work: Remarks on an S-shaped bifurcation curve
cites work: Q3996272
description: scientific article; zbMATH DE number 720451