Editor(s)

Quigg, John

Abstract

We examine transformations and diconjugacy for general symplectic systems which include as special cases linear Hamiltonian difference systems and Sturm-Liouville difference equations of higher order. We give a Reid roundabout theorem for these systems and also for reciprocal symplectic systems. Particularly, we investigate a connection between eventual disconjugacy of linear Hamiltonian difference systems and their reciprocals. Finally, we present a dinsconjugacy-preserving transformation of a Sturm-Liouville equation of higher order which transforms this equation into another one of the same order.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0035-7596

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1997 Rocky Mountain Mathematics Consortium, All rights reserved.

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