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Zbl 0725.73057
Lazer, A.C.; McKenna, P.J.
Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. (English)
[J] SIAM Rev. 32, No.4, 537-578 (1990). ISSN 0036-1445; ISSN 1095-7200/e

The paper surveys an area of nonlinear functional analysis and some applications. Among the applications is large amplitude bending of beams and suspension bridges. The existence and multiplicity of periodic solutions of several models is studied.
[J.Genin (Las Cruces)]

MSC 2000:: *74H45 Vibrations
35B10 Periodic solutions of PDE
70K30 Nonlinear resonances (general mechanics)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
35J05 Laplace equation, etc.
46N99 Appl. of functional analysis
74E30 Composite and mixture properties

Keywords: nonlinear functional analysis; large amplitude bending; existence; multiplicity of periodic solutions

Cited in: Zbl 1029.35022 Zbl 1165.74323 Zbl 1029.35023 Zbl 0952.34042 Zbl 0795.73047 Zbl 0832.34012 Zbl 0765.34017

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