Abstract
In this note it is proved that the spectral radius of the Fréchet derivative of a class of nonlinear continuous operators is a bifurcation point of the operator.
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Literatur
KRASNOSEL'SKII, M.A. Positive Solutions of Operator Equations, Groningen, P.Noordhoff LTD 1964.
— Topological Methods in the Theory of Nonlinear Integral Equations, Oxford-London-New York-Paris, Pergamon Press 1964.
SCHAEFER, H.H. Some nonlinear eigenvalue problems, Madison, The Uni. of Wisconsin Press 117–137 (1963).
— Topological Vector Spaces, New York, Macmillan 1966. 3rd Printing,New York-Heidelberg-Berlin,Springer 71
STATHAKOPOULOS, K. Über nichtlineare kompakte Störungen von kompakten linearen Operatoren, Bull. Soc.Math. Grèce N.S.13 (1972), 90–103.
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Stathakópoulos, K. Ein Beitrag zur Verzweigungstheorie. Manuscripta Math 15, 211–218 (1975). https://doi.org/10.1007/BF01168674
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DOI: https://doi.org/10.1007/BF01168674