Nabla time scale symplectic systems and related quadratic functionals

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F10%3A00040508" target="_blank" >RIV/00216224:14310/10:00040508 - 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

Nabla time scale symplectic systems and related quadratic functionals

Original language description

In this paper we present the theory of nabla time scale symplectic systems. In particular, we establish conditions characterizing the positivity and nonnegativity of the quadratic functionals associated with such systems. These results are parallel (or dual) to the ones obtained recently by the authors for the delta time scale symplectic systems without normality assumption. A surprising outcome of this theory is the fact that some of the known results for the delta time scale case and the presented newresults for the nabla time scale case do not coincide in the special cases of both continuous linear Hamiltonian systems and discrete symplectic systems. To the contrary, the nabla time scale results are also new in the latter two special cases. As applications of the obtained positivity and nonnegativity results we derive the Reid roundabout theorems for nabla time scale symplectic systems.

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

2010

Confidentiality

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

Name of the periodical

Differential Equations and Dynamical Systems

ISSN

0971-3514

e-ISSN

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Volume of the periodical

18

Issue of the periodical within the volume

1-2

Country of publishing house

IN - INDIA

Number of pages

36

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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