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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F10%3A10057470%21RIV11-MSM-11320___
rdf:type
n5:Vysledek skos:Concept
dcterms: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. 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.
dcterms:title
Product integration on time scales Product integration on time scales
skos:prefLabel
Product integration on time scales Product integration on time scales
skos:notation
RIV/00216208:11320/10:10057470!RIV11-MSM-11320___
n3:aktivita
n4:Z n4:P
n3:aktivity
P(KJB101120802), Z(MSM0021620839)
n3:cisloPeriodika
1
n3:dodaniDat
n6:2011
n3:domaciTvurceVysledku
n9:4013441
n3:druhVysledku
n15:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
282459
n3:idVysledku
RIV/00216208:11320/10:10057470
n3:jazykVysledku
n11:eng
n3:klicovaSlova
regressive function; linear dynamic system; matrix exponential; product integral
n3:klicoveSlovo
n7:linear%20dynamic%20system n7:regressive%20function n7:matrix%20exponential n7:product%20integral
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[728F80637031]
n3:nazevZdroje
Dynamic Systems and Applications
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n8:KJB101120802
n3:rokUplatneniVysledku
n6:2010
n3:svazekPeriodika
19
n3:tvurceVysledku
Slavík, Antonín
n3:wos
000277616900008
n3:zamer
n19:MSM0021620839
s:issn
1056-2176
s:numberOfPages
16
n18:organizacniJednotka
11320