Title of article
Relative oscillation theory for Sturm–Liouville operators extended
Author/Authors
Helge Krüger، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
19
From page
1702
To page
1720
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.
© 2007 Elsevier Inc. All rights reserved
Keywords
Sturm–Liouville operators , Oscillation theory , spectral shift function
Journal title
Journal of Functional Analysis
Serial Year
2008
Journal title
Journal of Functional Analysis
Record number
839599
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