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TRANSFORMATIONS BETWEEN STURM–LIOUVILLE PROBLEMS WITH EIGENVALUE DEPENDENT AND INDEPENDENT BOUNDARY CONDITIONS

Published online by Cambridge University Press:  28 November 2001

PAUL A. BINDING ,
PATRICK J. BROWNE  and
BRUCE A. WATSON
PAUL A. BINDING
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada; binding@ucalgary.ca
PATRICK J. BROWNE
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E6, Canada; browne@abyss.usask.ca
BRUCE A. WATSON
Affiliation:
Department of Mathematics, University of the Witwatersrand, Private Bag 3, P O WITS 2050, South Africa; watson-ba@e-math.ams.org
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Abstract

Explicit relationships are given connecting ‘almost’ isospectral Sturm–Liouville problems with eigen-value dependent, and independent, boundary conditions, respectively. Application is made to various direct and inverse spectral questions.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 6 , November 2001 , pp. 749 - 757
Copyright
© The London Mathematical Society 2001

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