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Oscillation theory for Sturm–Liouville problems with indefinite coefficients

Published online by Cambridge University Press:  12 July 2007

P. A. Binding  and
H. Volkmer
P. A. Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, University Drive NW, Calgary, Alberta, Canada T2N 1N4 (binding@ucalgary.ca)
H. Volkmer
Affiliation:
Department of Mathematical Sciences, University of Wisconsin–Milwaukee, P.O. Box 413, Milwaukee, WI 53201, USA (volkmer@csd.uwm.edu)
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Abstract

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Oscillation and related results are given for the problem under separated end conditions, assuming 1/p, q and r ∈ L1(I). Attention focuses on the two cases (i) p > 0 with r indefinite, and (ii) p indefinite with r > 0.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 5 , October 2001 , pp. 989 - 1002
Copyright
Copyright © Royal Society of Edinburgh 2001