JournalszaaVol. 19, No. 1pp. 239–253

Konstruktive Verzweigungstheorie für Halbeigenwerte

  • M. Damm

    Technische Universität Dresden, Germany
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By linearization of nonlinear semi-eigenvalue problem, especially for analytic maps with completely continuous Fréchet derivative, we develop the (primary) branching solutions and the corresponding semi-cigenvalues 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.

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M. Damm, Konstruktive Verzweigungstheorie für Halbeigenwerte. Z. Anal. Anwend. 19 (2000), no. 1, pp. 239–253

DOI 10.4171/ZAA/948