Document Type
Article
Publication Date
4-2009
Keywords
Indefinite Sturm-Liouville problem, Riesz basis, Eigenvalue dependent boundary conditions, Krein space, Definitizable operator
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.
Publication Title
Integral Equations and Operator Theory
Volume
63
Issue
4
First Page
473
Last Page
499
DOI
http://dx.doi.org/10.1007/s00020-009-1659-0
Required Publisher's Statement
© Springer International Publishing AG, Part of Springer Science+Business Media
This is the authors' final version of the paper, the final publication is available at Springer via http://dx.doi.org/10.1007/s00020-009-1659-0.
Recommended Citation
Binding, Paul and Ćurgus, Branko, "Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions. II" (2009). Mathematics Faculty Publications. 65.
https://cedar.wwu.edu/math_facpubs/65
Subjects - Topical (LCSH)
Sturm-Liouville equation; Riesz spaces; Boundary value problems; Kreĭn spaces
Detailed calculations for the opening example.
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
