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Title: Periodically forced damped beams resting on nonlinear elastic bearings (English)
Author: Fečkan, Michal
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 55
Issue: 2
Year: 2005
Pages: 217-235
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Category: math
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MSC: 35B10
MSC: 35B20
MSC: 74K10
idZBL: Zbl 1108.35004
idMR: MR2177709
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Date available: 2009-09-25T14:25:23Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/128868
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Reference: [1] BATTELLI F.-FEČKAN M.: Homoclinic orbits of slowly periodically forced and weakly damped beams resting on weakly elastic bearings.Adv. Differential Equations 8 (2003), 1043-1080. Zbl 1036.35019, MR 1989289
Reference: [2] BATTELLI F.-FEČKAN M.: Chaos in the beam equation.J. Differential Equations 209 (2005), 172-227. Zbl 1082.35019, MR 2107472
Reference: [3] FEČKAN M.: Free vibrations of beams on bearings with nonlinear elastic responses.J. Differential Equations 154 (1999), 55-72. Zbl 0927.35071, MR 1685646
Reference: [4] FEIREISEL E.: Nonzero time periodic solutions to an equation of Petrovsky type with nonlinear boundary conditions: Slow oscillations of beams on elastic bearings.Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 20 (1993), 133-146. MR 1216001
Reference: [5] MAWHIN J.: Topological Degree Methods in Nonlinear Boundary Value Problems.Reg. Conf. Ser. Math. 40, Amer. Math. Soc, Providence, RI, 1979. Zbl 0414.34025, MR 0525202
Reference: [6] STRIZHAK T. G.: The Asymptotic Method of Normalization.Golov. Izd. Izd. Ob"ed. "Vishcha Shkola", Kiev, 1984. (Russian) Zbl 0539.34002, MR 0774591
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