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Main Title: Sturm-Liouville Operators with Indefinite Weight Functions and Eigenvalue Depending Boundary Conditions
Author(s): Behrndt, Jussi
Trunk, Carsten
Type: Research Paper
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.
Subject(s): boundary value problems
Sturm-Liouville operatos
definitizable operators
boundary value spaces
Weyl functions
Issue Date: 14-Dec-2004
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34B07 Linear boundary value problems with nonlinear dependence on the spectral parameter
47B50 Operators on spaces with an indefinite metric
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2004, 38
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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