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

Published online by Cambridge University Press:  11 July 2007

P. A. Binding  and
P. J. Browne
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
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Abstract

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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 2 , April 2000 , pp. 239 - 247
Copyright
Copyright © Royal Society of Edinburgh 2000