Focal points and recessive solutions of discrete symplectic systems
| Autoři | |
|---|---|
| Rok publikování | 2014 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Appl. Math. Comput. |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://www.sciencedirect.com/science/article/pii/S0096300314008510 |
| Doi | http://dx.doi.org/10.1016/j.amc.2014.06.015 |
| Obor | Obecná matematika |
| Klíčová slova | Symplectic difference system; Recessive solution; Riccati equation; Comparative index |
| Popis | We prove a Sturmian separation theorem comparing the number of focal points of any conjoined basis of a nonoscillatory and controllable (near $\infty$) symplectic difference system with the number of focal points of the recessive solution at $\infty$. We also present various extensions of this statement. |
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