Detail publikace
Riccati inequality and other results for discrete symplectic systems.
HILSCHER, R. RŮŽIČKOVÁ, V.
Anglický název
Riccati inequality and other results for discrete symplectic systems.
Typ
Článek WoS
Jazyk
en
Originální abstrakt
In this paper we establish several new results regarding the positivity and nonnegativity of discrete quadratic functionals F associated with discrete symplectic systems. In particular, we derive (i) the Riccati inequality for the positivity of F with separated endpoints, (ii) a characterization of the nonnegativity of F for the case of general (jointly varying) endpoints, and (iii) several perturbation-type inequalities regarding the nonnegativity of F with zero endpoints. Some of these results are new even for the special case of discrete Hamiltonian systems.
Klíčová slova anglicky
Discrete symplectic system; Quadratic functional; Nonnegativity; Positivity; Riccati inequality; Riccati equation; Conjoined basis; Sturmian theorem
Vydáno
2006-08-31
ISSN
0022-247X
Časopis
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Ročník
322
Číslo
2
Strany od–do
1083–1098
Počet stran
15
BIBTEX
@article{BUT43690,
author="Roman Šimon {Hilscher} and Viera {Štoudková Růžičková}",
title="Riccati inequality and other results for discrete symplectic systems.",
journal="JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS",
year="2006",
volume="322",
number="2",
pages="1083--1098",
issn="0022-247X"
}