Rofe-Beketov formula for symplectic systems
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Advances in Difference Equations |
| MU Faculty or unit | |
| 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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