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  • The authors consider the following ordinary differential equation with hysteresis and time delay in the hysteresis term: $$ \frac{du}{dt}={\rm const}[F(u)](t-\tau), $$ where $F$ is a hysteresis operator of the relay type. They also consider a partial differential equation with hysteresis in the boundary conditions. These equations describe thermostats. The existence of periodic solutions to both of the equations mentioned is proved. Moreover, the relationship between these equations is discussed.
  • The authors consider the following ordinary differential equation with hysteresis and time delay in the hysteresis term: $$ \frac{du}{dt}={\rm const}[F(u)](t-\tau), $$ where $F$ is a hysteresis operator of the relay type. They also consider a partial differential equation with hysteresis in the boundary conditions. These equations describe thermostats. The existence of periodic solutions to both of the equations mentioned is proved. Moreover, the relationship between these equations is discussed. (en)
Title
  • Differential equations, hysteresis and time delay
  • Differential equations, hysteresis and time delay (en)
skos:prefLabel
  • Differential equations, hysteresis and time delay
  • Differential equations, hysteresis and time delay (en)
skos:notation
  • RIV/47813059:19610/02:00000081!RIV/2003/MSM/196103/N
http://linked.open.../vavai/riv/strany
  • 676;691
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika
  • 4
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
  • 643139
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/02:00000081
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • hysteresis; time delay; heat equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [A2606EFED01B]
http://linked.open...i/riv/nazevZdroje
  • Zeitschrift für Angewandte Mathematik und Physik
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 53
http://linked.open...iv/tvurceVysledku
  • Kopfová, Jana
http://linked.open...n/vavai/riv/zamer
issn
  • 0044-2275
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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