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@article{985428,
author = {Zemánek, Petr},
article_number = {104},
doi = {http://dx.doi.org/10.1186/1687-1847-2012-104},
keywords = {Rofe-Beketov formula; symplectic system; time scale; Reduction of Order Theorem},
language = {eng},
issn = {1687-1847},
journal = {Advances in Difference Equations},
title = {Rofe-Beketov formula for symplectic systems},
url = {http://www.advancesindifferenceequations.com/content/2012/1/104},
volume = {2012},
year = {2012}
}
TY - JOUR
ID - 985428
AU - Zemánek, Petr
PY - 2012
TI - Rofe-Beketov formula for symplectic systems
JF - Advances in Difference Equations
VL - 2012
IS - 104
SP - 1-9
EP - 1-9
PB - Springer
SN - 16871847
KW - Rofe-Beketov formula
KW - symplectic system
KW - time scale
KW - Reduction of Order Theorem
UR - http://www.advancesindifferenceequations.com/content/2012/1/104
N2 - We establish the Rofe-Beketov formula for symplectic systems on time scales. This result generalizes the well-known d’Alembert formula (or the Reduction of Order Theorem) and the Rofe-Beketov formula published for the second order Sturm-Liouville equations on time scales. Moreover, this result is new even in the discrete time case.
ER -
ZEMÁNEK, Petr. Rofe-Beketov formula for symplectic systems. \textit{Advances in Difference Equations}. Springer, 2012, roč.~2012, č.~104, s.~1-9. ISSN~1687-1847. doi:10.1186/1687-1847-2012-104.
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