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Zbl 1100.39006
Došlý, Ondřej
Symplectic difference systems: oscillation theory and hyperbolic Prüfer transformation.
(English)
[A] Siafarikas, Panayiotis D. (ed.), International conference on differential, difference equations and their applications, July 1--5, 2002, Patras, Greece. Cairo: Hindawi Publishing Corporation. 31-40 (2004). ISBN 977-5945-14-3/hbk

Summary: 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. A hyperbolic Prüfer transformation for SDSs is established.
MSC 2000:
*39A11 Stability of difference equations
39A12 Discrete version of topics in analysis
37J10 Symplectic mappings, fixed points

Keywords: symplectic difference systems; oscillation; hyperbolic Prüfer transformation

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Scientific prize winners of the ICM 2010
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