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Simple eigenvalues and bifurcation for a multiparameter problem
Published online by Cambridge University Press: 20 January 2009
Extract
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
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