Oscillation results for time scale symplectic systems

Investor logo

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

ŠIMON HILSCHER Roman ZEIDAN Vera

Year of publication 2009
Type Article in Proceedings
Conference Proceedings of the 14th International Conference on Difference Equations and Applications
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Time scale; Time scale symplectic system; Linear Hamiltonian system; Generalized focal point; Conjoined basis; Oscillation; Nonoscillation; Quadratic functional; Sturmian comparison theorem; Riccati equation
Description In this paper we study oscillation and nonoscillation properties of symplectic dynamic systems over a time scale interval which is unbounded above. We derive Sturmian-type comparison theorems and characterizations of the definiteness of the associated quadratic functional. These results extend recent ones for the bounded time scale domain, and they are also new for the special case of the discrete symplectic systems.
Related projects:

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