# On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate

Czechoslovak Mathematical Journal (1987)

- Volume: 37, Issue: 2, page 334-341
- ISSN: 0011-4642

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topFeireisl, Eduard. "On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate." Czechoslovak Mathematical Journal 37.2 (1987): 334-341. <http://eudml.org/doc/13646>.

@article{Feireisl1987,

author = {Feireisl, Eduard},

journal = {Czechoslovak Mathematical Journal},

keywords = {infinite number of periodic solutions; Rayleigh-Ritz approximation; sequence of variational problems; topological methods},

language = {eng},

number = {2},

pages = {334-341},

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

title = {On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate},

url = {http://eudml.org/doc/13646},

volume = {37},

year = {1987},

}

TY - JOUR

AU - Feireisl, Eduard

TI - On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate

JO - Czechoslovak Mathematical Journal

PY - 1987

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

VL - 37

IS - 2

SP - 334

EP - 341

LA - eng

KW - infinite number of periodic solutions; Rayleigh-Ritz approximation; sequence of variational problems; topological methods

UR - http://eudml.org/doc/13646

ER -

## References

top- 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. (1982) MR0670937
- Feireisl E., Free vibrations for an equation of a rectangular thin plate, to appear in Aplikace matematiky. MR0940708
- Rabinowitz P. H., 10.1002/cpa.3160370203, Comm. Pure Appl. Math. 37 (1984), pp. 189-206. (1984) Zbl0522.35065MR0733716DOI10.1002/cpa.3160370203
- Chang K. C, Sanchez L., 10.1002/mma.1670040113, Math. Meth. in the Appl. Sci. 4 (1982), pp. 194-205. (1982) Zbl0501.35004MR0659037DOI10.1002/mma.1670040113
- 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. (1984) MR0767883

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