Rofe-Beketov formula for symplectic systems

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Authors	ZEMÁNEK Petr
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Advances in Difference Equations
MU Faculty or unit	Faculty of Science
Citation
web	http://www.advancesindifferenceequations.com/content/2012/1/104
Doi	https://doi.org/10.1186/1687-1847-2012-104
Field	General mathematics
Keywords	Rofe-Beketov formula; symplectic system; time scale; Reduction of Order Theorem
Attached files	Rofe-Beketov_formula_for_symplectic_systems__zemanek_.pdf
Description	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.
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