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XIII.—The Spectrum of a Fourth-Order Differential Operator*

Published online by Cambridge University Press:  14 February 2012

Jyoti Chaudhuri  and
W. N. Everitt
Jyoti Chaudhuri
Affiliation:
Department of Mathematics, University of Dundee.
W. N. Everitt
Affiliation:
Department of Mathematics, University of Dundee.
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Synopsis

This paper considers the properties of the spectrum of a differential operator derived from differential expressions of the fourth order. With certain conditions on the coefficients of the differential expression the spectrum of the operator is discrete and an estimate is obtained of the number of eigenvalues lying in a given bounded interval of the real line. The results are compared with those obtained by alternative methods. Additional restrictions on the coefficients give special cases previously considered by other authors.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 68 , Issue 3 , 1970 , pp. 185 - 210
Copyright
Copyright © Royal Society of Edinburgh 1970

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References

References to Literature

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