"A Sturmian Theorem for Recessive Solutions of Linear Hamiltonian Difference Systems" by Martin Bohner

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A Sturmian Theorem for Recessive Solutions of Linear Hamiltonian Difference Systems

Applied Mathematics Letter

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

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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.

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

Publication Date

1-1-1999

Publication Date

01 Jan 1999

Disciplines

Citation Information

Martin Bohner, Ondřej Došlý and Werner Kratz. "A Sturmian Theorem for Recessive Solutions of Linear Hamiltonian Difference Systems" Applied Mathematics Letter (1999)
Available at: http://works.bepress.com/martin-bohner/4/