The transformation of vector-functions, scaling and bifurcation

Author:
R. J. Magnus

Journal:
Trans. Amer. Math. Soc. **286** (1984), 689-713

MSC:
Primary 58E07; Secondary 47H15

DOI:
https://doi.org/10.1090/S0002-9947-1984-0760981-9

MathSciNet review:
760981

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Abstract | References | Similar Articles | Additional Information

Abstract: Various known methods for studying the bifurcation of zeros of a Banach-space-valued mapping are unified under a single idea, akin to using a coordinate transformation to obtain a simple form of the function under consideration. The general nature of the hypotheses permits the dropping of the pervasive "Fredholm condition" of bifurcation theory.

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DOI:
https://doi.org/10.1090/S0002-9947-1984-0760981-9

Article copyright:
© Copyright 1984
American Mathematical Society