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| Description
| - Pojem součinového integrálu maticové funkce zavedl koncem 19. století Vito Volterra. Tento pojem našel uplatnění nejprve v teorii soustav lineárních diferenciálních rovnic v reálném i v komplexním oboru, později také v teorii pravděpodobnosti, v matematické statistice a ve fyzice. Definice součinového integrálu byla postupně zobecňována, objevil se např. Lebesgueův nebo Kurzweilův součinový integrál, integrál funkcí s hodnotami v Banachově prostoru apod. Cílem projektu je rozvinout a prohloubit teorii součinového integrálu v těchto oblastech: 1) Součinový integrál ve spojitém a diskrétním případě, integrace na časových škálách, 2) McShaneův a Kurzweilův integrál funkce s hodnotami v Banachově prostoru. (cs)
- The notion of product integral of a matrix function was introduced in the work of Vito Volterra at the end of the 19th century. The development of the theory was originally stimulated by problems involving systems of linear differential equations in real as well as in complex domain. Throughout the 20th century, product integration found applications also in probability theory, statistics and physics. The definition of product integral was gradually generalized, e.g. to the Lebesgue or Henstock-Kurzweil product integral, integral of functions with values in a Banach space etc. The aim of the project is to extend the theory of product integration in the following directions: 1) Product integration in continuous and discrete cases, integration on time scales, 2) McShane and Henstock-Kurzweil integral of a function with values in a Banach space. (en)
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| Title
| - Product integration in the real domain (en)
- Součinová integrace v reálném oboru (cs)
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| http://linked.open...vai/cislo-smlouvy
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| http://linked.open...avai/druh-souteze
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| http://linked.open...domain/vavai/faze
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| http://linked.open...vavai/hlavni-obor
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| http://linked.open...vavai/id-aktivity
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| http://linked.open.../vavai/id-souteze
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| http://linked.open...n/vavai/kategorie
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| http://linked.open...vai/klicova-slova
| - product integration; Henstock-Kurzweil integral; McShane integral; time scales (en)
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| http://linked.open...avai/konec-reseni
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| http://linked.open...nujicich-prijemcu
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| http://linked.open...avai/poskytovatel
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| http://linked.open...avai/start-reseni
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| http://linked.open...ai/statni-podpora
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| http://linked.open...vavai/typProjektu
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| http://linked.open...ai/uznane-naklady
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| http://linked.open...ai/pocet-prijemcu
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| http://linked.open...cet-spoluprijemcu
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| http://linked.open...ai/pocet-vysledku
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| http://linked.open...ku-zverejnovanych
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| is http://linked.open...ain/vavai/projekt
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