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On the zeros of solutions of beam equations. (English) Zbl 0683.73031
For three model equations of beam theory it is shown that oscillatory classical solutions have zeros, under reasonable hypotheses. The method of proofs consists in a (clever) adaptation of known techniques, partly developed by the author, for the study of linear and nonlinear hyperbolic equations. It would therefore seem that the main interest of the paper is on the applicative side; unfortunately, a discussion of the mechanical meaning of the main hypotheses has not been included.
Reviewer: P.Podio-Guidugli

74H45 Vibrations in dynamical problems in solid mechanics
35L35 Initial-boundary value problems for higher-order hyperbolic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
Full Text: DOI
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