Continuity of the eigenvalues for a vibrating beam

DOI10.1016/j.aml.2016.12.006zbMath1381.74103OpenAlexW2563933094MaRDI QIDQ511528

Zhikun She, Kairong Liu, Gang Meng, Xin Jiang

Publication date: 21 February 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.12.006

zbMATH Keywords

continuityeigenvalueweak topology

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Minimization of the lowest eigenvalue for a vibrating beam ⋮ Continuity of periodic solutions for Lotka-Volterra equations in coefficient functions ⋮ A variational approach to the optimal locations of the nodes of the second Dirichlet eigenfunctions ⋮ Continuity of periodic solutions to nonlinear equations in external forces ⋮ Continuity of periodic solutions of the Landesman-Lazer equation in external forces

Cites Work

• Continuity in weak topology: higher order linear systems of ODE
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• Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
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• Continuity in weak topology: first order linear systems of ODE
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• A Prufer Transformation for the Equation of the Vibrating Beam
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