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Preprint 38-2004

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

Source file is available as :   Postscript Document

Author(s) : Jussi Behrndt , Carsten Trunk

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 38-2004

MSC 2000

34B07 Linear boundary value problems with nonlinear dependence on the spectral parameter
47B50 Operators on spaces with an indefinite metric

Abstract :
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.

Keywords : boundary value problems, Sturm-Liouville operatos, definitizable operators, boundary value spaces, Weyl functions

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