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Galerkin approximations in several parameter bifurcation problems

Published online by Cambridge University Press:  24 October 2008

J. C. Alexander  and
P. M. Fitzpatrick
J. C. Alexander
Affiliation:
University of Maryland, Maryland 20742
P. M. Fitzpatrick
Affiliation:
University of Maryland, Maryland 20742
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Extract

The purpose of this paper is to prove a theorem giving conditions yielding global bifurcation of the solutions of a family of parameterized nonlinear equations, the domain and the range of which lie in Banach spaces, where the parameter is allowed to be a vector in , k a positive integer. The basic contribution is that the parameter is vector valued and that the nonlinearities allowed are very general; however, even for scalar parameters, our results extend those of previous authors.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 3 , May 1980 , pp. 489 - 500
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

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