. . "121;140" . . "The existence of smooth families of solutions bifurcating from the trivial solution for a two-parameter bifurcation 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 dok\u00E1zan\u00E1 hladk\u00E1 bifurkace pro t\u0159\u00EDdu varia\u010Dn\u00EDch rovnic s multiparametrem. Je studov\u00E1n elastick\u00FD nosn\u00EDk, kter\u00FD je stla\u010Dovan\u00FD silou lambda a podepren\u00FD jednostrannou pevnou p\u0159ek\u00E1\u017Ekou ve v\u00FD\u0161ce h. Na p\u0159\u00EDkladu nosn\u00EDku je uk\u00E1z\u00E1no, \u017Ee netrivi\u00E1ln\u00ED \u0159e\u0161en\u00ED maj\u00EDc\u00ED za kontaktn\u00ED mno\u017Einu interval, bifurkuj\u00ED z nulov\u00E9ho \u0159e\u0161en\u00ED a tvo\u0159\u00ED hladkou rodinu \u0159e\u0161en\u00ED parametrizovanou pomoc\u00ED lambda a h. Mno\u017Eina dotyku tak\u00E9 hladce z\u00E1vis\u00ED na lambda a h."@cs . "18" . "Eisner, Jan" . . . "Ku\u010Dera, Milan" . "Smooth bifurcation for an obstacle problem" . "Differential and Integral Equations" . "Smooth bifurcation for an obstacle problem"@en . . "The existence of smooth families of solutions bifurcating from the trivial solution for a two-parameter bifurcation 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 $h$." . "20"^^ . "543184" . "0893-4983" . "RIV/67985840:_____/05:00000471" . . . . "Hladk\u00E1 bifurkace pro probl\u00E9m nosn\u00EDku se souvislou p\u0159ek\u00E1\u017Ekou"@cs . "P(IAA1019202), Z(AV0Z1019905)" . "Recke, L." . "3"^^ . . . "[EE19432B182F]" . "RIV/67985840:_____/05:00000471!RIV/2005/AV0/A05005/N" . . "2"^^ . "2" . "Hladk\u00E1 bifurkace pro probl\u00E9m nosn\u00EDku se souvislou p\u0159ek\u00E1\u017Ekou"@cs . "bifurcation;unilaterally supported beam;variational inequalities"@en . . . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Smooth bifurcation for an obstacle problem" . . "Smooth bifurcation for an obstacle problem"@en .