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Simple eigenvalues and bifurcation for a multiparameter problem

Published online by Cambridge University Press:  20 January 2009

D. F. McGhee  and
M. H. Sallam
D. F. McGhee
Affiliation:
Department of MathematicsUniversity of StrathclydeGlasgow G1 1XH, Scotland
M. H. Sallam
Affiliation:
Department of MathematicsUniversity of MonofiyaCairo, Egypt
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We are concerned with the problem of bifurcation of solutions of a non-linear multiparameter problem at a simple eigenvalue of the linearised problem.

Let X and Y be real Banach spaces, and let A, Bi, i = 1, …, n∈B(X, Y). Let : Rn × X → Y be a non-linear mapping. We consider the equation

where

and λ=(λ1, λ2,…,λn) ∈ Rn is an n-tuple of spectral parameters.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 1 , February 1988 , pp. 77 - 88
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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