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  • The existence of smooth families of solutions bifurcating from the trivial solution for a two-parameter gifurcation problem for a class of variational inequalities is proved. As an example, a model of an elastic beam compressed by a force $/lambda$ and supported by a unilateral connected fixed obstacle at the height $h$ is studied. In the language of this example, we show that nontrivial solutions touching the obstacle on connected intervals bifurcate from the trivial solution and form smooth families parametrized by $/lambda$, $h$. In particular, the corresponding contact intervals depend smoothly on $/lambda$ and $h$.
  • The existence of smooth families of solutions bifurcating from the trivial solution for a two-parameter gifurcation problem for a class of variational inequalities is proved. As an example, a model of an elastic beam compressed by a force $/lambda$ and supported by a unilateral connected fixed obstacle at the height $h$ is studied. In the language of this example, we show that nontrivial solutions touching the obstacle on connected intervals bifurcate from the trivial solution and form smooth families parametrized by $/lambda$, $h$. In particular, the corresponding contact intervals depend smoothly on $/lambda$ and $h$. (en)
  • Je dokázaná hladká bifurkace pro třídu variačních rovnic s multiparametrem. Je studován elastický nosník, který je stlačovaný silou $/lambda$ a podepřený jednostrannou pevnou překážkou ve výšce$h$. Na příkladu nosníku je ukázáno, že netriviální řešení mající za konstantní množinu interval, bifurkují z nulového řešení a tvoří hladkou rodinu řešení parametrizovanou pomocí $/lambda$ a $h$. Množina dotyku take hladce závisí na $/lambda$ a $h$. (cs)
Title
  • Smooth bifurcation for an obstacle probelm
  • Hladká bifurkace pro problém nosníku se souvislou překážkou (cs)
  • Smooth bifurcation for an obstacle probelm (en)
skos:prefLabel
  • Smooth bifurcation for an obstacle probelm
  • Hladká bifurkace pro problém nosníku se souvislou překážkou (cs)
  • Smooth bifurcation for an obstacle probelm (en)
skos:notation
  • RIV/67985840:_____/05:00021945!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 121;140
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1019202), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 543183
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/05:00021945
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • bifurcation; unilaterally supported beam; variational inequalities (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [EEC772C73C5E]
http://linked.open...i/riv/nazevZdroje
  • Differential and Integral Equations
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
  • 18
http://linked.open...iv/tvurceVysledku
  • Eisner, Jan
  • Kučera, Milan
  • Recke, L.
http://linked.open...n/vavai/riv/zamer
issn
  • 0893-4983
number of pages
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