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@article{1188652,
author = {Došlý, Ondřej and Elyseeva, Julia},
article_number = {8},
doi = {http://dx.doi.org/10.1080/10236198.2014.908862},
keywords = {symplectic difference system; recessive solution; Riccati equation; comparative index},
language = {eng},
issn = {1023-6198},
journal = {J. Difference Equ. Appl.},
title = {Singular comparison theorems for symplectic difference systems},
volume = {20},
year = {2014}
}
TY - JOUR
ID - 1188652
AU - Došlý, Ondřej - Elyseeva, Julia
PY - 2014
TI - Singular comparison theorems for symplectic difference systems
JF - J. Difference Equ. Appl.
VL - 20
IS - 8
SP - 1268-1288
EP - 1268-1288
PB - Taylor and Francis
SN - 10236198
KW - symplectic difference system
KW - recessive solution
KW - Riccati equation
KW - comparative index
N2 - We present new relations connecting the number of focal points of conjoined bases of eventually disconjugate symplectic difference systems with different coefficient matrices which obey a majorant condition at $\infty.$ For the case of controllable (near $\infty$) symplectic systems we investigate connections between the number of focal points of their recessive solutions. The consideration is based on the concept of minimal and maximal solutions of the associated Riccati matrix difference equations and the comparative index theory for discrete symplectic systems.
ER -
DOŠLÝ, Ondřej a Julia ELYSEEVA. Singular comparison theorems for symplectic difference systems. \textit{J. Difference Equ. Appl.}. Taylor and Francis, 2014, roč.~20, č.~8, s.~1268-1288. ISSN~1023-6198. doi:10.1080/10236198.2014.908862.
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