The Floquet theory of the periodic Euler-Bernoulli equation

DOI10.1006/jdeq.1998.3474zbMath0919.34074OpenAlexW2054179719MaRDI QIDQ1275320

Vassilis G. Papanicolaou, Dimitrios C. Kravvaritis

Publication date: 2 May 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3474

zbMATH Keywords

transverse vibrationsalgebraic and geometric multiplicitiesperiodic and antiperiodic eigenvaluesthin straight beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Forced motions for nonlinear problems in mechanics (70K40)

Related Items

A survey on extremal problems of eigenvalues, A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems, Nodal solutions of a nonlinear eigenvalue problem of the Euler-Bernoulli equation, Sharp eigenvalue asymptotics for fourth order operators on the circle, The periodic Euler-Bernoulli equation, Non-degeneracy and uniqueness of periodic solutions for some superlinear beam equations, Spectral estimates for a periodic fourth-order operator

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