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Title: On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate (English)
Author: Feireisl, Eduard
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 37
Issue: 2
Year: 1987
Pages: 334-341
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Category: math
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MSC: 35B10
MSC: 35L70
MSC: 73K10
idZBL: Zbl 0627.73063
idMR: MR882606
DOI: 10.21136/CMJ.1987.102161
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Date available: 2008-06-09T15:16:16Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102161
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Reference: [1] Fadell E. R., Husseini S. Y., Rabinowitz P. H.: Borsuk-Ulam theorems for arbitrary $S^1$ actions and applications.Trans. A.M.S. 274 (1982), pp. 345-360. MR 0670937
Reference: [2] Feireisl E.: Free vibrations for an equation of a rectangular thin plate.to appear in Aplikace matematiky. MR 0940708
Reference: [3] Rabinowitz P. H.: Large amplitude time periodic solutions of a semilinear wave equation.Comm. Pure Appl. Math. 37 (1984), pp. 189-206. Zbl 0522.35065, MR 0733716, 10.1002/cpa.3160370203
Reference: [4] Chang K. C, Sanchez L.: Nontrivial periodic solutions of a nonlinear beam equation.Math. Meth. in the Appl. Sci. 4 (1982), pp. 194-205. Zbl 0501.35004, MR 0659037, 10.1002/mma.1670040113
Reference: [5] Štědrý M., Vejvoda O.: Existence of classical periodic solutions of a wave equation: a connection of a number-theoretical character of the period with geometrical properties of solutions.(in Russian), Differencialnye uravnenia 20 (1984), pp. 1733-1739. MR 0767883
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