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Abstract and Applied Analysis 
Volume 2004 (2004), Issue 4, Pages 285-294
doi:10.1155/S108533750430607X

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

Abstract

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.