Konstruktive Verzweigungstheorie für Halbeigenwerte

M. Damm

Abstract: By linearization of nonlinear semi-eigenvalue problems, especially for analytic maps with completely continuous Fréchet derivative, we develop the (primary) branching solutions and the corresponding semi-eigenvalues into power series with respect to a real parameter. We consider the algebraically simple case of the semi-eigenvalue of the linearization using the implicit function theorem and the Fredholm alternative.

Keywords: semi-eigenvalue, semi-eigenvector, nonlinear eigenvalue problems, bifurcation, analytic branching solutions, implicit function theorem, Fredholm alternative

Classification (MSC2000): 47H12, 58C40, 58E07

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