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Oscillation theory for indefinite Sturm-Liouville problems with eigenparameter-dependent boundary conditions

Published online by Cambridge University Press:  14 November 2011

P. A. Binding  and
Patrick J. Browne
P. A. Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, CanadaT2N 1N4
Patrick J. Browne
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, Saskatchewan, CanadaS7N 0W0
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Extract

In previous papers we have studied oscillation properties of Sturm–Liouville problems (−Py′)′ + qy = λry, with λ-dependent boundary conditions, under various ‘definiteness’ conditions. Here we present a new, unified, approach which also covers cases previously untreated, e.g. of semidefinite weight, and also the fully indefinite problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 6 , 1997 , pp. 1123 - 1136
Copyright
Copyright © Royal Society of Edinburgh 1997

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