Article

**in Proceedings of the 14th International Conference on Difference Equations and Applications, M. Bohner (ed) et al., 105-115, Uğur-Bahçeşehir University Publishing Company, Istanbul, 2009**

## Relative Oscillation Theory for Jacobi Matrices

### Kerstin Ammann and Gerald Teschl

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.

** MSC2000:** Primary 39A10, 47B36; Secondary 34C10, 34L05

**Keywords:** *Jacobi matrices, oscillation theory*

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