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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bifurcation at eigenvalues of odd multiplicity


Author: David Westreich
Journal: Proc. Amer. Math. Soc. 41 (1973), 609-614
MSC: Primary 47H15
MathSciNet review: 0328707
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Abstract: The most general form of the bifurcation problem is considered. Under reasonable hypotheses, ``eigenvalues'' of odd multiplicity are shown to be bifurcation points.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0328707-9
PII: S 0002-9939(1973)0328707-9
Keywords: Bifurcation, eigenvalues, odd multiplicity, Banach space, Fréchet differentiable, Fredholm operator, index zero, implicit function theorem, contraction map, continuous curve
Article copyright: © Copyright 1973 American Mathematical Society