Eigenfunction Branches of Nonlinear Operators, and their Bifurcations

von George H. Jr. Pimbley

136 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540046233
• Sprache: Englisch
• Erscheinungsdatum: 01.01.1969
• Größe: 235 x 155 mm
• Verlag: Springer