Product integration on time scales
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10057470" target="_blank" >RIV/00216208:11320/10:10057470 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Product integration on time scales
Original language description
We introduce the notion of product delta-integral of a matrix function defined on an arbitrary time scale, and thus generalize the classical definition of product integral. We prove that every Riemann delta-integrable matrix function is also product delta-integrable, and investigate the properties of the indefinite product delta-integral, including its relation to linear systems of dynamic equations. Finally, we generalize the notion of the matrix exponential function.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/KJB101120802" target="_blank" >KJB101120802: Product integration in the real domain</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Dynamic Systems and Applications
ISSN
1056-2176
e-ISSN
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Volume of the periodical
19
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
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UT code for WoS article
000277616900008
EID of the result in the Scopus database
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