An automatic procedure for the calculation of bifurcation points of integral equations
type: Item
instance of: scholarly article
title: An automatic procedure for the calculation of bifurcation points of integral equations
zbMATH Open document ID: 0574.65143
DOI: 10.1016/0377-0427(85)90017-2
author: R. Caluwaerts
published in: Journal of Computational and Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Let X,Y be Banach spaces, \(\lambda\), \(\mu\) real parameters, and \(F: X\to Y\) a mapping such that its Fréchet derivative F' at a singular point \((x^*,\lambda^*,\mu^*)\) of the nonlinear equation \(F(x,\lambda,\mu)=0\) is a Fredholm operator of index 0 and dim ker(F')\({}^*(x^*,\lambda^*,\mu^*)=1\). A new direct method for finding simple bifurcation points is presented.
reviewed by: J. Kolomý
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 3917664
zbMATH Keywords: Banach spaces
zbMATH Keywords: Fredholm operator
zbMATH Keywords: direct method
zbMATH Keywords: simple bifurcation points
MaRDI profile type: Publication
full work available at URL: 0377-0427(85)90017-2
OpenAlex ID: W2046853497
cites work: Q4124250
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description: scientific article; zbMATH DE number 3917664