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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