Geodesic
Free vibrations for the equation of a rectangular thin plate
Applications of Mathematics, Tome 33 (1988) no. 2, pp. 81-93.

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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.
DOI : 10.21136/AM.1988.104290
Classification : 35B10, 35L70, 58E05, 73K12, 74H45, 74K20
Keywords: thin plate; simply supported; existence; infinitely many nonzero time-periodic solutions; Ljusternik-Schnirelman theory; approximate solution 
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     author = {Feireisl, Eduard},
     title = {Free vibrations for the equation of a rectangular thin plate},
     journal = {Applications of Mathematics},
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Feireisl, Eduard. Free vibrations for the equation of a rectangular thin plate. Applications of Mathematics, Tome 33 (1988) no. 2, pp. 81-93. doi : 10.21136/AM.1988.104290. http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104290/

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