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Convergence of regular approximations to the spectra of singular fourth-order Sturm–Liouville problems

Published online by Cambridge University Press:  14 November 2011

Malcolm Brown ,
Leon Greenberg  and
Marco Marletta
Malcolm Brown
Affiliation:
Department of Computer Science, University of Wales—Cardiff, P.O. Box 916, Cardiff CF2 3XF, U.K.
Leon Greenberg
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland MD 20742, U.S.A.
Marco Marletta
Affiliation:
Department of Mathematics, University of Leicester, University Road, Leicester LEI 7RH, U.K.
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Abstract

We prove some new results which justify the use of interval truncation as a means of regularising a singular fourth-order Sturm–Liouville problem near a singular endpoint. Of particular interest are the results in the so-called lim-3 case, which has no analogue in second-order singular problems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 5 , 1998 , pp. 907 - 944
Copyright
Copyright © Royal Society of Edinburgh 1998

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