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Bounds for the point spectrum for a Sturm-Liouville equation*

Published online by Cambridge University Press:  14 November 2011

F. V. Atkinson
Affiliation:
Department of Mathematics, University of Toronto
W. N. Everitt
Affiliation:
Department of Mathematics, University of Dundee

Synopsis

This paper obtains, under certain general conditions on the coefficient q, a best-possible upper bound on the real parameter λ for the differential equation

to have a non-trivial solution in the integrable-square space L2 (a, ∞).

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1978

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References

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