Publication details

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 http://dx.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
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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