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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. (en)
Title
  • Product integration on time scales
  • Product integration on time scales (en)
skos:prefLabel
  • Product integration on time scales
  • Product integration on time scales (en)
skos:notation
  • RIV/00216208:11320/10:10057470!RIV11-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(KJB101120802), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 282459
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/10:10057470
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • regressive function; linear dynamic system; matrix exponential; product integral (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [728F80637031]
http://linked.open...i/riv/nazevZdroje
  • Dynamic Systems and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 19
http://linked.open...iv/tvurceVysledku
  • Slavík, Antonín
http://linked.open...ain/vavai/riv/wos
  • 000277616900008
http://linked.open...n/vavai/riv/zamer
issn
  • 1056-2176
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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