Article
Trigonometric Transformations of Symplectic Difference Systems
Journal on Differential Equations
Abstract
In this paper we show that any symplectic difference system can be transformed into a trigonometric system, using a transformation that preserves oscillatory properties. Necessary and sufficient conditions for nonoscillation of a certain class of trigonometric systems are given, and this result is applied to oscillation theory of Hamiltonian difference systems.
Department(s)
Mathematics and Statistics
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2000 Elsevier, All rights reserved.
Publication Date
1-1-2000
Publication Date
01 Jan 2000
Disciplines
Citation Information
Martin Bohner and Ondřej Došlý. "Trigonometric Transformations of Symplectic Difference Systems" Journal on Differential Equations (2000) Available at: http://works.bepress.com/martin-bohner/124/