Focal points and recessive solutions of discrete symplectic systems
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Appl. Math. Comput. |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.sciencedirect.com/science/article/pii/S0096300314008510 |
| Doi | http://dx.doi.org/10.1016/j.amc.2014.06.015 |
| Field | General mathematics |
| Keywords | Symplectic difference system; Recessive solution; Riccati equation; Comparative index |
| Description | 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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