Rofe-Beketov formula for symplectic systems

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.