Relative Oscillation Theory for Jacobi Matrices

Details Relative Oscillation Theory for Jacobi Matrices Relative Oscillation Theory for Jacobi Matrices

2008-10-31

arxiv.org/abs/0810.5648v2

in Proceedings of the 14th International Conference on Difference Equations and Applications, M. Bohner (ed) et al., 105--115,

Mathematics

Spectral Theory

8 pages

Scientific paper

We develop relative oscillation theory for Jacobi matrices which, rather than
counting the number of eigenvalues of one single matrix, counts the difference
between the number of eigenvalues of two different matrices. This is done by
replacing nodes of solutions associated with one matrix by weighted nodes of
Wronskians of solutions of two different matrices.

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