A fold bifurcation theorem of degenerate solutions in a perturbed nonlinear equation
type: Item
instance of: scholarly article
title: A fold bifurcation theorem of degenerate solutions in a perturbed nonlinear equation
zbMATH Open document ID: 1230.37060
DOI: 10.1155/2011/302942
author: Ping Liu
author: Yuwen Wang
published in: Abstract and Applied Analysis
publication date: 2011-07-22T00:00:00Z
review text: Consider a nonlinear equation \(F(\varepsilon,\lambda,u)=0\), where \(\varepsilon\) is a perturbation parameter, \(\lambda\) is a real number, \(u\) belongs to a Banach space, and \(F\) is a differentiable mapping into a Banach space. The authors use the generalized saddle-node bifurcation theorem to obtain a general bifurcation result.
reviewed by: M. A. M. Alwash
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 37H20
zbMATH DE Number: 5930735
zbMATH Keywords: fold bifurcation
zbMATH Keywords: degenerate solution
zbMATH Keywords: nonlinear equations
zbMATH Keywords: Banach space
Wikidata QID: Q58654119
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/302942
OpenAlex ID: W2063010962
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description: scientific article; zbMATH DE number 5930735