Nonlinear models of suspension bridges: discussion of the results.

DOI10.1023/B:APOM.0000024489.96314.7fzbMath1099.74030MaRDI QIDQ851597

Pavel Drábek, Aleš Matas, Petr Nečesal, Gabriela Holubová

Publication date: 21 November 2006

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33163

zbMATH Keywords

bifurcationinitial boundary value problembeam equationFučík spectrumsystem of beam wave equation

Mathematics Subject Classification ID

Related Items (35)

Formation of boundary layers for singularly perturbed fourth-order ordinary differential equations with the Lidstone boundary conditions ⋮ Analysis of a thermoelastic Timoshenko beam model ⋮ Reversed \(S\)-shaped connected component for a fourth-order boundary value problem ⋮ Existence and multiplicity results for some generalized Hammerstein equations with a parameter ⋮ \(S\)-shaped connected component for the fourth-order boundary value problem ⋮ Basis properties of Fučík eigenfunctions for the Neumann Laplacian ⋮ Constant sign solutions of two-point fourth order problems ⋮ One-dimensional model of a suspension bridge: revision of uniqueness results ⋮ \(S\)-shaped connected component for nonlinear fourth-order problem of elastic beam equation ⋮ Loss of energy concentration in nonlinear evolution beam equations ⋮ The Fučík spectrum for one dimensional Kreĭn-Feller operators ⋮ Positive and negative solutions of one-dimensional beam equation ⋮ Asymptotic behavior and numerical approximation of a double-suspended bridge system ⋮ Steady states and nonlinear buckling of cable-suspended beam systems ⋮ Suspension bridge model with laminated beam ⋮ Existence and location results for hinged beam equations with unbounded nonlinearities ⋮ On a nonlinear nonlocal hyperbolic system modeling suspension bridges ⋮ Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations ⋮ Blow up oscillating solutions to some nonlinear fourth order differential equations ⋮ Unnamed Item ⋮ Long-term dynamics of a viscoelastic suspension bridge ⋮ On the viscoelastic coupled suspension bridge ⋮ Lower and upper solution method for the problem of elastic beam with hinged ends ⋮ Torsional instability in suspension bridges: the Tacoma Narrows Bridge case ⋮ Fourth-order problems with nonlinear boundary conditions ⋮ Global attractors for the coupled suspension bridge system with temperature ⋮ Well-posedness and longtime behaviour of a coupled nonlinear system modeling a suspension bridge ⋮ Positive solutions of a discontinuous one-dimensional beam equation ⋮ Finite time blow-up in nonlinear suspension bridge models ⋮ A different monotone iterative technique for a class of nonlinear three-point BVPs ⋮ Extending the threshold values for inverse-positivity of a linear fourth order operator ⋮ WELL ORDERED MONOTONE ITERATIVE TECHNIQUE FOR NONLINEAR SECOND ORDER FOUR POINT DIRICHLET BVPS ⋮ A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge ⋮ A note on the relation between the Fučík spectrum and Pareto eigenvalues ⋮ On the maximum and antimaximum principles for the beam equation

Cites Work

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