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A directed set of Sturm–Liouville operators

Published online by Cambridge University Press:  14 November 2011

Harold E. Benzinger
Harold E. Benzinger
Affiliation:
Department of Mathematics, University of Illinois, Urbana, Illinois 61801, U.S.A
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Synopsis

Asymptotic estimates for the eigenvalues and eigenfunctions of a directed set of Sturm–Liouville operators are obtained. Particular attention is paid to the influence of the diffusion coefficient, as it becomes arbitrarily large.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 1-2 , 1981 , pp. 125 - 145
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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