Trigonometric Transformations of Symplectic Difference Systems
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.
Recommended Citation
M. Bohner and O. Došlý, "Trigonometric Transformations of Symplectic Difference Systems," Journal on Differential Equations, Elsevier, Jan 2000.
The definitive version is available at https://doi.org/10.1006/jdeq.1999.3728
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
01 Jan 2000