Oscillation results for time scale symplectic systems
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Proceedings |
| Conference | Proceedings of the 14th International Conference on Difference Equations and Applications |
| MU Faculty or unit | |
| 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. |
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