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Rofe-Beketov formula for symplectic systems

Advances in Difference Equations (2012) 2012
DOI: 10.1186/1687-1847-2012-104
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Abstract

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. © 2012 Zemánek.

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Zemánek, P. (2012). Rofe-Beketov formula for symplectic systems. Advances in Difference Equations, 2012. https://doi.org/10.1186/1687-1847-2012-104

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