Optimal multiplicity in local bifurcation theory. I: Generalized generic eigenvalues
type: Item
instance of: scholarly article
title: Optimal multiplicity in local bifurcation theory. I: Generalized generic eigenvalues
zbMATH Open document ID: 0648.34027
DOI: 10.1016/0022-0396(88)90039-3
author: J. Esquinas
author: Julián López-Gómez
published in: Journal of Differential Equations
publication date: 1988-01-01T00:00:00Z
review text: We introduce a class of eigenvalues for a family of operators depending on a real parameter. For this class of eigenvalues we define a multiplicity concept which is the best in local bifurcation theory. In Part II we shall reduce the general situation to the one considered here.
Mathematics Subject Classification ID: 34L99
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 4057958
zbMATH Keywords: eigenvalues
zbMATH Keywords: multiplicity
zbMATH Keywords: local bifurcation theory
reviewed by: Didier Robert
MaRDI profile type: Publication
full work available at URL: 0022-0396(88)90039-3
OpenAlex ID: W1972913775
cites work: Q3948194
cites work: Bifurcation from simple eigenvalues
cites work: Q3772801
cites work: Bifurcation theory for Fredholm operators
cites work: Degenerate bifurcation at simple eigenvalues and stability of bifurcating solutions
cites work: Multiple eigenvalue bifurcation for Fredholm operators.
cites work: Q3238590
cites work: Multiparameter local bifurcation
cites work: A Generalization of Multiplicity and the Problem of Bifurcation
cites work: Q3215858
cites work: Bifurcation at Eigenvalues of Odd Multiplicity
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description: scientific article; zbMATH DE number 4057958