Rofe-Beketov formula for symplectic systems

Investor logo
Investor logo

Warning

This publication doesn't include Faculty of Sports Studies. It includes Faculty of Science. Official publication website can be found on muni.cz.
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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.

More info