Abstract and Applied Analysis
Volume 2004 (2004), Issue 4, Pages 285-294

Symplectic difference systems: oscillation theory and hyperbolic Prüfer transformation

Ondřej Došlý

Department of Mathematics, Masaryk University, janáčkovo nám. 2a, Brno 66295, Czech Republic

Received 8 October 2002

Copyright © 2004 Ondřej Došlý. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present basic methods of oscillation theory of symplectic difference systems (SDSs). A particular attention is devoted to the variational principle and to the transformation method. Hyperbolic Prüfer transformation for SDSs is established.