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Sturm-Liouville Operators with Indefinite Weight Functions and Eigenvalue Depending Boundary Conditions

Behrndt, Jussi; Trunk, Carsten

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

We consider a class of boundary value problems for Sturm-Liouville operators with an indefinite weight function. The spectral parameter appears nonlinearly in the boundary condition in the form of a function \tau which has the property that \lambda tau(\lambda) is a generalized Nevanlinna function. We construct linearizations of these boundary value problems and study their spectral properties.