An Eigenvalue Problem for Linear Hamiltonian Dynamic Systems

Author

Roman Hilscher
Martin Bohner, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

R. Hilscher and M. Bohner, "An Eigenvalue Problem for Linear Hamiltonian Dynamic Systems," Fasciculi Mathematici, Poznan University of Technology, Institute of Mathematics, Jan 2005.

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

01 Jan 2005