TY  - BOOK
AU  - Pimbley,George H.
ED  - SpringerLink (Online service)
TI  - Eigenfunction Branches of Nonlinear Operators, and their Bifurcations
T2  - Lecture Notes in Mathematics,
SN  - 9783540361473
AV  - QA1-939 
U1  - 510 23
PY  - 1969///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Mathematics
KW  - Mathematics, general
N1  - 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
UR  - http://dx.doi.org/10.1007/BFb0065819
ER  -