Focal points and recessive solutions of discrete symplectic systems

Investor logo

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.
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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.