In the paper, we deal with the equation of a rectangular thin plate with a simply supported boundary. The restoring force being an odd superlinear function of the vertical displacement, the existence of infinitely many nonzero time-periodic solutions is proved.
@article{104290, author = {Eduard Feireisl}, title = {Free vibrations for the equation of a rectangular thin plate}, journal = {Applications of Mathematics}, volume = {33}, year = {1988}, pages = {81-93}, zbl = {0648.73024}, mrnumber = {0940708}, language = {en}, url = {http://dml.mathdoc.fr/item/104290} }
Feireisl, Eduard. Free vibrations for the equation of a rectangular thin plate. Applications of Mathematics, Tome 33 (1988) pp. 81-93. http://gdmltest.u-ga.fr/item/104290/
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