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