Trigonometric and hyperbolic systems on time scales

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F09%3A00028575" target="_blank" >RIV/00216224:14310/09:00028575 - 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

Trigonometric and hyperbolic systems on time scales

Original language description

In this paper we discuss trigonometric and hyperbolic systems on time scales. These systems generalize and unify their corresponding continuous-time and discrete-time analogies, namely the systems known in the literature as trigonometric and hyperbolic linear Hamiltonian systems and discrete symplectic systems. We provide time scale matrix definitions of the usual trigonometric and hyperbolic functions and show that many identities known from the basic calculus extend to this general setting, includingthe time scale differentiation of these functions.

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

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

Dynamic Systems and Applications

ISSN

1056-2176

e-ISSN

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Volume of the periodical

18

Issue of the periodical within the volume

3-4

Country of publishing house

US - UNITED STATES

Number of pages

24

Pages from-to

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UT code for WoS article

000270520600009

EID of the result in the Scopus database

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