George H. Jr. Pimbley

Eigenfunction Branches of Nonlinear Operators, and their Bifurcations (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 131
• Erscheinungstermin: 15. November 2006
• Englisch
• ISBN-13: 9783540361473
• Artikelnr.: 53156168

Inhaltsangabe

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.