Darboux transformations and the factorization of generalized Sturm–Liouville problems

Darboux transformations and the factorization of generalized Sturm–Liouville problems

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.

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2010-02, Vol.140 (1), p.1-29
Hauptverfasser: Binding, Paul A., Browne, Patrick J., Watson, Bruce A.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Eigenvalues
Mathematics
Theory
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Zusammenfassung: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.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210508000905