Title

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.

Department(s)

Mathematics and Statistics

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2000 Elsevier, All rights reserved.


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