Hostname: page-component-7b9c58cd5d-7g5wt Total loading time: 0 Render date: 2025-03-15T14:53:56.969Z Has data issue: false hasContentIssue false

Sturm–Liouville problems with non-separated eigenvalue dependent boundary conditions

Published online by Cambridge University Press:  11 July 2007

P. A. Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, CanadaT2N 1N4
P. J. Browne
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, CanadaS7N 5E6
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Sturm–Liouville differential equations are studied under non-separated boundary conditions whose coefficients are first degree polynomials in the eigenparameter. Situations are examined where there are at most finitely many non-real eigenvalues and also where there are only finitely many real ones.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2000