A note on bifurcations of \(u^{\prime\prime}+\mu (u-u^k)=0\) \((4 \leq k\in \mathbb{Z}^+)\)
type: Item
instance of: scholarly article
title: A note on bifurcations of \(u^{\prime\prime}+\mu (u-u^k)=0\) \((4 \leq k\in \mathbb{Z}^+)\)
zbMATH Open document ID: 0982.34034
DOI: 10.1007/BF02459004
author: Changpin Li
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2002-03-22T00:00:00Z
review text: Consider the boundary value problem \((*)\) \(u'' + \mu (u-u^k)=0\), \(u(0)=u(\pi)=0\), where \(\mu\) is a real parameter, \(4 \leq k \in \mathbb{Z}^+\). The author applies the Lyapunov-Schmidt method to \((*)\) and studies the corresponding bifurcation equation.
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1490815
zbMATH Keywords: boundary value problem
zbMATH Keywords: Lyapunov-Schmidt method
zbMATH Keywords: singularly theory
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
cites work: Q4189096
cites work: Q3948194
cites work: Singularities and groups in bifurcation theory. Volume I
cites work: Computation of obstruction sets and bifurcation problems.
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description: scientific article; zbMATH DE number 1490815