Eigenfunction Branches of Nonlinear Operators, and their Bifurcations

Paperback Engels 1969 1969e druk 9783540046233
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Specificaties

ISBN13:9783540046233
Taal:Engels
Bindwijze:paperback
Aantal pagina's:131
Uitgever:Springer Berlin Heidelberg
Druk:1969

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Inhoudsopgave

An example.- The extension of branches of solutions for nonlinear equations in Banach spaces.- Development of branches of solutions for nonlinear equations near an exceptional point. Bifurcation theory.- Solution of the bifurcation equation in the case n=1; bifurcation at the origin.- The eigenvalue problem; hammerstein operators; sublinear and superlinear operators; oscillation kernels.- On the extension of branches of eigenfunctions; conditions preventing secondary bifurcation of branches.- Extension of branches of eigenfunctions of Hammerstein operators.- The example of section 1, reconsidered.- A two-point boundary value problem.- Summary; collection of hypotheses; unsettled questions.

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          Eigenfunction Branches of Nonlinear Operators, and their Bifurcations