A Sturmian Theorem for Recessive Solutions of Linear Hamiltonian Difference Systems

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Ondřej Došlý
Werner Kratz

Abstract

The main result of the paper is a Sturmian-type separation theorem for the recessive solutions of linear Hamiltonian difference systems. The assumptions on the Hamiltonian systems allow to include the study of Sturm-Liouville difference equations of higher order. As an application of the main result, some Sturmian-type comparison results are obtained.

Recommended Citation

M. Bohner et al., "A Sturmian Theorem for Recessive Solutions of Linear Hamiltonian Difference Systems," Applied Mathematics Letter, Elsevier, Jan 1999.

The definitive version is available at https://doi.org/10.1016/S0893-9659(98)00156-6

Department(s)

Mathematics and Statistics

Keywords and Phrases

discrete Hamiltonian System; conjoined basis; focal point; Recessive solution; Sturmian theorem

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1999 Elsevier, All rights reserved.

Publication Date

01 Jan 1999