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Sturm–Liouville problems with indefinite weights and Everitt's inequality

Published online by Cambridge University Press:  14 November 2011

Hans Volkmer
Hans Volkmer
Affiliation:
Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI 53201, U.S.A.
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Abstract

It is shown that spectral properties of Sturm–Liouville eigenvalue problems with indefinite weights are related to integral inequalities studied by Everitt. A result of Beals on indefinite problems leads to a sufficient condition for the validity of such an inequality. A Baire category argument is used to show that, in general, the inequality under consideration does not hold.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 5 , 1996 , pp. 1097 - 1112
Copyright
Copyright © Royal Society of Edinburgh 1996

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