%0 Journal Article %T Relative Oscillation Theory for Sturm-Liouville Operators Extended %A Helge Krueger %A Gerald Teschl %J Mathematics %D 2007 %I arXiv %R 10.1016/j.jfa.2007.10.007 %X We extend relative oscillation theory to the case of Sturm--Liouville operators $H u = r^{-1}(-(pu')'+q u)$ with different $p$'s. We show that the weighted number of zeros of Wronskians of certain solutions equals the value of Krein's spectral shift function inside essential spectral gaps. %U http://arxiv.org/abs/0707.3451v2