# A unilateral boundary-value problem for the rod

Aplikace matematiky (1988)

- Volume: 33, Issue: 2, page 103-115
- ISSN: 0862-7940

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topBosák, Miroslav. "A unilateral boundary-value problem for the rod." Aplikace matematiky 33.2 (1988): 103-115. <http://eudml.org/doc/15528>.

@article{Bosák1988,

abstract = {A unilateral boundary-value condition at the left end of a simply supported rod is considered. Variational and (equivalent) classical formulations are introduced and all solutions to the classical problem are calculated in an explicit form. Formulas for the energies corresponding to the solutions are also given. The problem is solved and energies of the solutions are compared in the pertubed as well as the unperturbed cases.},

author = {Bosák, Miroslav},

journal = {Aplikace matematiky},

keywords = {perturbed; unperturbed cases; Signorini problem; bifurcations; simply supported rod; axially loaded; least rotation; lateral displacements; nonlinear differential equations; potential energies; equilibrium configurations; buckling of the rod; variational inequality; perturbed; unperturbed cases; Signorini problem; bifurcations; simply supported rod; axially loaded; least rotation; lateral displacements; nonlinear) differential equations; potential energies; equilibrium configurations},

language = {eng},

number = {2},

pages = {103-115},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A unilateral boundary-value problem for the rod},

url = {http://eudml.org/doc/15528},

volume = {33},

year = {1988},

}

TY - JOUR

AU - Bosák, Miroslav

TI - A unilateral boundary-value problem for the rod

JO - Aplikace matematiky

PY - 1988

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 33

IS - 2

SP - 103

EP - 115

AB - A unilateral boundary-value condition at the left end of a simply supported rod is considered. Variational and (equivalent) classical formulations are introduced and all solutions to the classical problem are calculated in an explicit form. Formulas for the energies corresponding to the solutions are also given. The problem is solved and energies of the solutions are compared in the pertubed as well as the unperturbed cases.

LA - eng

KW - perturbed; unperturbed cases; Signorini problem; bifurcations; simply supported rod; axially loaded; least rotation; lateral displacements; nonlinear differential equations; potential energies; equilibrium configurations; buckling of the rod; variational inequality; perturbed; unperturbed cases; Signorini problem; bifurcations; simply supported rod; axially loaded; least rotation; lateral displacements; nonlinear) differential equations; potential energies; equilibrium configurations

UR - http://eudml.org/doc/15528

ER -

## References

top- E. L. Reiss, Column buckling- an elementary example of bifurcation, In: Bifurcation Theory and Nonlinear Eigenvalue Problems, ed. by J. B. Keller and S. Antman, p. 1-16, New York, Benjamin, 1969. (1969) Zbl0185.53002MR0241213
- А. А. Березовский, Лекции хо нелинейным краевым задачам математической физики, Наукова думка, 1976. (1976) Zbl1160.26301

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