Article
An Eigenvalue Problem for Linear Hamiltonian Dynamic Systems
Fasciculi Mathematici
Abstract
In this paper we consider eigenvalue problems on time scales involving linear Hamiltonian dynamic systems. We give conditions that ensure that the eigenvalues of the problem are isolated and bounded below. The presented results are applicable also to Sturm{Liouville dynamic equations of higher order, and further special cases of our systems are linear Hamiltonian differential systems as well as linear Hamiltonian difference systems.
Department(s)
Mathematics and Statistics
Sponsor(s)
Czech Republic. Grant Agency
Keywords and Phrases
- Eigenfunction,
- Linear Hamiltonian system,
- eigenvalue,
- focal point,
- normality,
- quadratic functional,
- time scale
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2005 Poznan University of Technology, Institute of Mathematics, All rights reserved.
Publication Date
1-1-2005
Publication Date
01 Jan 2005
Disciplines
Citation Information
Roman Hilscher and Martin Bohner. "An Eigenvalue Problem for Linear Hamiltonian Dynamic Systems" Fasciculi Mathematici (2005) Available at: http://works.bepress.com/martin-bohner/1/