1.

Record Nr.

UNISA996466618203316

Autore

Pimbley George H.

Titolo

Eigenfunction branches of nonlinear operators, and their bifurcations / / George H. Pimbley, Jr

Pubbl/distr/stampa

Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1969]

©1969

ISBN

3-540-36147-2

Edizione

[1st ed. 1969.]

Descrizione fisica

1 online resource (II, 131 p.)

Collana

Lecture notes in mathematics (Springer-Verlag) ; ; 104

Disciplina

515.7248

Soggetti

Nonlinear operators

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.