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Description
  • This paper represents a short survey of product integration on time scales. 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 summarize its properties and describe its relation to linear systems of dynamic equations. Finally, we generalize the notion of the matrix exponential function.
  • This paper represents a short survey of product integration on time scales. 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 summarize its properties and describe its relation to linear systems of dynamic equations. Finally, we generalize the notion of the matrix exponential function. (en)
Title
  • An introduction to product integration on time scales
  • An introduction to product integration on time scales (en)
skos:prefLabel
  • An introduction to product integration on time scales
  • An introduction to product integration on time scales (en)
skos:notation
  • RIV/00216208:11320/09:10057469!RIV11-MSM-11320___
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  • P(KJB101120802), Z(MSM0021620839)
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  • 302754
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  • RIV/00216208:11320/09:10057469
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  • regressive function; linear dynamic system; matrix exponential; product integral (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A4538CEDDF86]
http://linked.open...v/mistoKonaniAkce
  • Strečno, Slovensko
http://linked.open...i/riv/mistoVydani
  • Žilina
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  • Proceedings of Conference on Differential and Difference Equations and Applications (CDDEA)
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  • Slavík, Antonín
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http://linked.open.../riv/zahajeniAkce
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issn
  • 1336-149X
number of pages
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  • Žilinská univerzita v Žiline
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  • 11320
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