Contributions to Books:
M. Langer, H. Woracek:
"Dependence of the Weyl coefficient on singular interface conditions";
in: "ASC Report 03/2008",
issued by: Institut für Analysis und Scientific Computing;
Vienna University of Technology,
Wien,
2008,
ISBN: 978-3-902627-01-8.
English abstract:
We investigate the influence of interface conditions at a singularity of an
indefinite canonical system on its Weyl coefficient. An explicit formula
which parameterizes all possible Weyl coefficients of indefinite canonical
systems with fixed Hamiltonian function is derived. This result is illustrated
with two examples: the Bessel equation, which has a singular
endpoint, and a Sturm-Liouville equation whose potential has an inner
singularity, which arises from a continuation problem for a positive definite
function.
Keywords:
indefinite canonical system, Weyl coefficient, singular potential
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2008/asc03x2008.pdf
Created from the Publication Database of the Vienna University of Technology.