Hostname: page-component-6bb9c88b65-lm65w Total loading time: 0.006 Render date: 2025-07-26T00:17:00.622Z Has data issue: false hasContentIssue false
  • English
  • Français

Darboux transformations and the factorization of generalized Sturm–Liouville problems

Published online by Cambridge University Press:  04 February 2010

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, (patrick.browne@usask.ca)
Bruce A. Watson
Affiliation:
School of Mathematics, University of the Witwatersrand, Private Bag 3, PO WITS 2050, South Africa, (b.alastair.watson@gmail.com)
Get access Rights & Permissions [Opens in a new window]

Abstract

A version of the Darboux transformation is explored for Sturm-Liouville problems with eigenvalue-dependent boundary conditions, from differential-equation and operator-theoretic viewpoints. Some of the literature on Darboux's transformation is related in a historical introduction.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 1 , February 2010 , pp. 1 - 29
Copyright
Copyright © Royal Society of Edinburgh 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable