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@inproceedings{828534,
author = {Šimon Hilscher, Roman and Zeidan, Vera},
address = {Istanbul},
booktitle = {Proceedings of the 14th International Conference on Difference Equations and Applications},
keywords = {Time scale; Time scale symplectic system; Linear Hamiltonian system; Generalized focal point; Conjoined basis; Oscillation; Nonoscillation; Quadratic functional; Sturmian comparison theorem; Riccati equation},
language = {eng},
location = {Istanbul},
isbn = {978-975-6437-80-3},
pages = {203-210},
publisher = {Ugur-Bahcesehir University Publishing Company},
title = {Oscillation results for time scale symplectic systems},
year = {2009}
}
TY - JOUR
ID - 828534
AU - Šimon Hilscher, Roman - Zeidan, Vera
PY - 2009
TI - Oscillation results for time scale symplectic systems
PB - Ugur-Bahcesehir University Publishing Company
CY - Istanbul
SN - 9789756437803
KW - Time scale
KW - Time scale symplectic system
KW - Linear Hamiltonian system
KW - Generalized focal point
KW - Conjoined basis
KW - Oscillation
KW - Nonoscillation
KW - Quadratic functional
KW - Sturmian comparison theorem
KW - Riccati equation
N2 - In this paper we study oscillation and nonoscillation properties of symplectic dynamic systems over a time scale interval which is unbounded above. We derive Sturmian-type comparison theorems and characterizations of the definiteness of the associated quadratic functional. These results extend recent ones for the bounded time scale domain, and they are also new for the special case of the discrete symplectic systems.
ER -
ŠIMON HILSCHER, Roman a Vera ZEIDAN. Oscillation results for time scale symplectic systems. In \textit{Proceedings of the 14th International Conference on Difference Equations and Applications}. Istanbul: Ugur-Bahcesehir University Publishing Company, 2009, s.~203-210. ISBN~978-975-6437-80-3.
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