Article
Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions. II
Integral Equations and Operator Theory
Document Type
Article
Publication Date
4-1-2009
Keywords
- Indefinite Sturm-Liouville problem,
- Riesz basis,
- Eigenvalue dependent boundary conditions,
- Krein space,
- Definitizable operator
Disciplines
Abstract
We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions affinely dependent on the eigenparameter. We give sufficient conditions under which the root vectors of this Sturm-Liouville problem can be selected to form a Riesz basis of a corresponding weighted Hilbert space.
DOI
http://dx.doi.org/10.1007/s00020-009-1659-0
Subjects - Topical (LCSH)
Sturm-Liouville equation; Riesz spaces; Boundary value problems; Kreĭn spaces
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
Citation Information
Paul Binding and Branko Ćurgus. "Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions. II" Integral Equations and Operator Theory Vol. 63 Iss. 4 (2009) p. 473 - 499 Available at: http://works.bepress.com/branko_curgus/16/