ON THE BEHAVIOUR OF EIGENVALUES ASSOCIATED WITH STURM–LIOUVILLE PROBLEMS ON SHRINKING DOMAINS
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Published:2006-02
Issue:1
Volume:49
Page:201-214
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ISSN:0013-0915
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Container-title:Proceedings of the Edinburgh Mathematical Society
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language:en
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Short-container-title:Proceedings of the Edinburgh Mathematical Society
Author:
Needham D. J.,King A. C.
Abstract
AbstractWe establish results concerning the detailed asymptotic structure of the eigenvalues of a class of regular and singular Sturm–Liouville problems as the domain size shrinks to zero. This is motivated by the recent paper of Bailey et al. and provides an extensive generalization of the results therein.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics