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.

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.

indefinite canonical system, Weyl coefficient, singular potential

http://www.asc.tuwien.ac.at/preprint/2008/asc03x2008.pdf

Created from the Publication Database of the Vienna University of Technology.