Riccati inequality, disconjugacy, and reciprocity principle for linear Hamiltonian dynamic systems
| Autoři | |
|---|---|
| Rok publikování | 2003 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Dynamic Systems and Applications |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | time scale; linear Hamiltonian dynamic system; disconjugacy; Riccati inequality; reciprocity principle |
| Popis | We investigate linear Hamiltonian dynamic systems (H). In particular, we characterize the disconjugacy of (H) in terms of the solvability of a Riccati inequality. This generalizes the known result of linear Hamiltonian differential systems and yields a new result for the discrete case. Further, we investigate a connection between eventual disconjugacy of (H) and its reciprocal system. |
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