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Form Domains and Eigenfunction Expansions for Differential Equations with Eigenparameter Dependent Boundary Conditions

Published online by Cambridge University Press:  20 November 2018

Paul Binding and
Branko Ćurgus
Paul Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, email: binding@ucalgary.ca
Branko Ćurgus
Affiliation:
Department of Mathematics, Western Washington University, Bellingham, WA 98225 USA, email: curgus@cc.wwu.edu
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Abstract

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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.

Keywords

47E0534B0947B5047B2534L10

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 54 , Issue 6 , 01 December 2002, pp. 1142 - 1164
Copyright
Copyright © Canadian Mathematical Society 2002

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