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