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Description
  • V článku jsou studovány rovnice v nekonečně rozměrných prostorech s multiplikativním frakcionálním šumem. Je ukázána existence silného a slabého řešení a jsou nalezeny postačující podmínky pro stabilitu řešení. Jsou uvedeny příklady, kdy šum má stabilizující účinek. (cs)
  • Explicit solutions are given for stochastic equations in a Hilbert space with a multiplicative fractional Gaussian noise. The problem of stochastic stability is considered and examples of stabilization and destabilization of deterministic evolution equations by a fractional noise are found.
  • Explicit solutions are given for stochastic equations in a Hilbert space with a multiplicative fractional Gaussian noise. The problem of stochastic stability is considered and examples of stabilization and destabilization of deterministic evolution equations by a fractional noise are found. (en)
Title
  • Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise
  • Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise (en)
  • Stochastické rovnice v Hilbertově prostoru s multiplikativním frakcionálním gaussovským šumem (cs)
skos:prefLabel
  • Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise
  • Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise (en)
  • Stochastické rovnice v Hilbertově prostoru s multiplikativním frakcionálním gaussovským šumem (cs)
skos:notation
  • RIV/67985840:_____/05:00025896!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 1357;1383
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/04/0750), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 8
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
  • 544739
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/05:00025896
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • stochastic evolution equations; fractional Brownian motion; stability (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [33EF2C525F9A]
http://linked.open...i/riv/nazevZdroje
  • Stochastic Processes and their 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
  • 115
http://linked.open...iv/tvurceVysledku
  • Duncan, T. E.
  • Maslowski, Bohdan
  • Pasik-Duncan, B.
http://linked.open...n/vavai/riv/zamer
issn
  • 0304-4149
number of pages
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