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Eigenfunction Branches of Nonlinear Operators, and their Bifurcations de George H. Jr. Pimbley

Eigenfunction Branches of Nonlinear Operators, and their Bifurcations: Lecture Notes in Mathematics, cartea 104

Autor George H. Jr. Pimbley
en Limba Engleză Paperback – 1969

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Specificații

ISBN-13: 9783540046233
ISBN-10: 3540046232
Pagini: 136
Ilustrații: II, 131 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.2 kg
Ediția:1969
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.