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.
@article{104292, author = {Miroslav Bos\'ak}, title = {A unilateral boundary-value problem for the rod}, journal = {Applications of Mathematics}, volume = {33}, year = {1988}, pages = {103-115}, zbl = {0661.73075}, mrnumber = {0940710}, language = {en}, url = {http://dml.mathdoc.fr/item/104292} }
Bosák, Miroslav. A unilateral boundary-value problem for the rod. Applications of Mathematics, Tome 33 (1988) pp. 103-115. http://gdmltest.u-ga.fr/item/104292/
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