Title

Discrete Linear Hamiltonian Eigenvalue Problems

Editor(s)

Demkowicz, Leszek

Abstract

This paper introduces general discrete linear Hamiltonian eigenvalue problems and characterizes the eigenvalues. Assumptions are given, among them the new notion of strict controllability of a discrete system, that imply isolatedness and lower boundedness of the eigenvalues. Due to the quite general assumptions, discrete Sturm-Liouville eigenvalue problems of higher order are included in the presented theory.

Department(s)

Mathematics and Statistics

Keywords and Phrases

linear Hamiltonian Difference System; Discrete Strum-Liouville eigenvalue problem; strict controllability; Reid roundabout theorem; comparison Theorem

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1998 Elsevier, All rights reserved.


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