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.
Recommended Citation
M. Bohner, "Discrete Linear Hamiltonian Eigenvalue Problems," Computers & Mathematics with Applications, Elsevier, Jan 1998.
The definitive version is available at https://doi.org/10.1016/S0898-1221(98)80019-9
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.
Publication Date
01 Jan 1998
