Definiteness of quadratic functionals for Hamiltonian and symplectic systems: A survey

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F09%3A00028574" target="_blank" >RIV/00216224:14310/09:00028574 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Definiteness of quadratic functionals for Hamiltonian and symplectic systems: A survey

Original language description

In this paper we provide a survey of characterizations of the nonnegativity and positivity of quadratic functionals arising in the theory of linear Hamiltonian and symplectic systems. We study these functionals on traditional continuous time domain (under and without controllability), on discrete domain, and on time scale domain which unifies and extends both previous types. For each case we distinguish functionals with zero, separated, and jointly varying endpoints. The presented conditions are formulated in terms of the properties of a special conjoined basis of the considered linear system. It is now easy to compare all the results - between continuous, discrete, and time scale cases, between the zero, separated, and jointly varying endpoits, and between the nonnegativity and positivity.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Difference Equations

ISSN

0973-6069

e-ISSN

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Volume of the periodical

4

Issue of the periodical within the volume

1

Country of publishing house

IN - INDIA

Number of pages

19

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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