Eigenfunction Branches of Nonlinear Operators, and their Bifurcations

George H. Jr. Pimbley (Autor)

Buch | Softcover

II, 131 Seiten

1969
Springer Berlin (Verlag)
9783540046233 (ISBN)

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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.

Erscheint lt. Verlag	1.1.1969
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	II, 131 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	195 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Schlagworte	Bifurcation • eigenvalue problem • Equation • Function • Nichtlinearer Operator • operators
ISBN-13	9783540046233 / 9783540046233
Zustand	Neuware