Document Type
Article
Publication Date
2002
Keywords
Eigenfunction expansions, Eigenparameter, Self-adjoint boundary conditions, Form domains
Abstract
Form domains are characterized for regular 2n-th order differential equations subject to general self-adjoint boundary conditions depending affinely on the eigenparameter. Corresponding modes of convergence for eigenfunction expansions are studied, including uniform convergence of the first n - 1 derivatives.
Publication Title
Canadian Journal of Mathematics
Volume
54
Issue
6
First Page
1142
Last Page
1164
Required Publisher's Statement
Published by the Canadian Mathematical Society
Recommended Citation
Ćurgus, Branko and Binding, Paul, "Form Domains and Eigenfunction Expansions for Differential Equations with Eigenparameter Dependent Boundary Conditions" (2002). Mathematics Faculty Publications. 79.
https://cedar.wwu.edu/math_facpubs/79
Subjects - Topical (LCSH)
Boundary value problems; Eigenvalues; Differential operators; Selfadjoint operators
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
