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  • V článku je dokázána lokální a globální existence a jednoznačnost řešení stochastické rovnice v Hilbertově prostoru, jejímž speciálním případem je rovnice tyče. Dále jsou nalezeny postačující podmínky pro omezenost a stabilitu řešení. (cs)
  • An extensible beam equation with a stochastic force of a white noise type is studied. Lyapunov techniques being used to prove existence of global mild solutions ans asymptotic stability of the zero solution.
  • An extensible beam equation with a stochastic force of a white noise type is studied. Lyapunov techniques being used to prove existence of global mild solutions ans asymptotic stability of the zero solution. (en)
Title
  • Stochastic nonlinear beam equations
  • Stochastic nonlinear beam equations (en)
  • Stochastické nelineární rovnice tyče (cs)
skos:prefLabel
  • Stochastic nonlinear beam equations
  • Stochastic nonlinear beam equations (en)
  • Stochastické nelineární rovnice tyče (cs)
skos:notation
  • RIV/67985840:_____/05:00025918!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 119;149
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  • P(GA201/01/1197), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
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  • 544743
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  • RIV/67985840:_____/05:00025918
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  • stochastic beam equation; stability (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [2C3C812362AA]
http://linked.open...i/riv/nazevZdroje
  • Probability Theory and Related Fields
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 132
http://linked.open...iv/tvurceVysledku
  • Maslowski, Bohdan
  • Brzezniak, Z.
  • Seidler, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0178-8051
number of pages
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