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

Authors
Binding, PA Browne, PJ
Citation
Pa. Binding et Pj. Browne, Sturm-Liouville problems with non-separated eigenvalue dependent boundary conditions, P RS EDIN A, 130, 2000, pp. 239-247
Citations number
6
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
130
Year of publication
2000
Part
2
Pages
239 - 247
Database
ISI
SICI code
0308-2105(2000)130:<239:SPWNED>2.0.ZU;2-T
Abstract
Sturm-Liouville differential equations are studied under non-separated boun dary conditions whose coefficients are first degree polynomials in the eige nparameter. Situations are examined where there are at most finitely many n on-real eigenvalues and also where there are only finitely many real ones.