Article ID Journal Published Year Pages File Type
4591997 Journal of Functional Analysis 2008 19 Pages PDF
Abstract

We extend relative oscillation theory to the case of Sturm–Liouville operators Hu=r−1(−′(pu′)+qu) 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory