Phases of linear difference equations and symplectic systems

0175438 - MU-W 20030192 RIV CZ eng J - Journal Article
Došlá, Zuzana - Škrabáková, D.
Phases of linear difference equations and symplectic systems.
Mathematica Bohemica. Roč. 128, č. 3 (2003), s. 293-308. ISSN 0862-7959
R&D Projects: GA ČR GA201/99/0295; GA ČR GA201/01/0079
Institutional research plan: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Keywords : second order linear difference equation * symplectic system * phase
Subject RIV: BA - General Mathematics

The concept of the phase for symplectic systems is introduced as the discrete analogy of the Borůvka concept of the phase for second order linear differential equations. Oscillation and nonoscillation of (1) and of symplectic systems are investigated in connection with phases and trigonometric systems. Some applications to summation of number series are given, too.
Permanent Link: http://hdl.handle.net/11104/0072421