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  • V práci je kompletně řešen problém invariantní reprezentace variační posloupnosti v teorii pole vyššího řádu diferenciálními formami. je použita zobecněná metoda integrace per partes a nově zavedený pojem Lieovy derivace podle vektorového pole podél zobrazení. Výsledky jsou uvedeny do souvislosti se standardními pojmy variačního počtu. (cs)
  • The problem of the invariant representation of the variational sequence in higher order field theory by differential forms is completely solved. The generalized method of integration by parts is used as well as the non-standard concept of the Lie derivative. The results are compared with common concepts of the calculus of variations.
  • The problem of the invariant representation of the variational sequence in higher order field theory by differential forms is completely solved. The generalized method of integration by parts is used as well as the non-standard concept of the Lie derivative. The results are compared with common concepts of the calculus of variations. (en)
Title
  • Invariantní reprezentace variační posloupnosti diferenciálními formami. (cs)
  • The invariant representation of the variational sequence by differential forms
  • The invariant representation of the variational sequence by differential forms (en)
skos:prefLabel
  • Invariantní reprezentace variační posloupnosti diferenciálními formami. (cs)
  • The invariant representation of the variational sequence by differential forms
  • The invariant representation of the variational sequence by differential forms (en)
skos:notation
  • RIV/00216224:14310/03:00008393!RIV08-GA0-14310___
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  • variational sequence; representation (en)
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