Focal points and recessive solutions of discrete symplectic systems

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Authors

DOŠLÝ Ondřej

Year of publication 2014
Type Article in Periodical
Magazine / Source Appl. Math. Comput.
MU Faculty or unit

Faculty of Science

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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