A STURM-LIOUVILLE PROBLEM DEPENDING RATIONALLY ON THE EIGENVALUE PARAMETER
FB 3 - Mathematik
D-28359 Bremen, Germany
We consider eigenvalues of the following Sturm-Liouville problem
on the interval with Dirichlet boundary conditions, where
, , and are real functions.
If is piece-wise continuous, then in every
gap of the range of the eigenvalues can be characterised
by a varitional principle with an index shift.
The behaviour at the end-points of the gaps and the number of eigenvules
EPSRC Gregynog Workshop, 21-26 July 2002