Constructive branching theory for semi-eigenvalues (Q1978095)
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scientific article; zbMATH DE number 1453214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive branching theory for semi-eigenvalues |
scientific article; zbMATH DE number 1453214 |
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Constructive branching theory for semi-eigenvalues (English)
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10 May 2001
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Summary: By linearization of nonlinear semi-eigenvalue problems, especially for analytic maps with completely continuous Fréchet derivative, we develop the (primary) branching solutions and the corresponding semi-eigenvalues into power series with respect to a real parameter. We consider the algebraically simple case of the semi-eigenvalue of the linearization using the implicit function theorem and the Fredholm alternative.
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bifurcation
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linearization
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nonlinear semi-eigenvalue problems
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completely continuous Fréchet derivative
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branching solutions
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semi-eigenvalues
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implicit function theorem
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Fredholm alternative
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