The study of a nonlinear suspension bridge equation by a variational reduction method

DOI10.1080/00036819308840185zbMath0739.35044OpenAlexW2005610136WikidataQ58308885 ScholiaQ58308885MaRDI QIDQ3363487

Q-Heung Choi, Tacksun Jung, Patrick J. McKenna

Publication date: 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819308840185

zbMATH Keywords

critical points

Mathematics Subject Classification ID

Related Items (17)

Nonlinear periodic oscillations in a suspension bridge system under periodic external aerodynamic forces ⋮ Multiple periodic oscillations in a nonlinear suspension bridge system ⋮ Multiple solutions for some elliptic boundary value problem with jumping nonlinearities ⋮ Small-amplitude nonlinear periodic oscillations in a suspension bridge system ⋮ Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz-Sobolev spaces ⋮ Nonlinear models of suspension bridges: discussion of the results. ⋮ Nontrivial solutions of the asymmetric beam system with jumping nonlinear terms ⋮ Suspension bridges with non-constant stiffness: bifurcation of periodic solutions ⋮ A piece wise linear suspension bridge model: nonlinear dynamics and orbit continuation ⋮ A semilinear beam equation with nonconstant loads ⋮ On nonlinear oscillations in a suspension bridge system ⋮ Multiple periodic solutions for suspension bridge systems ⋮ Numerical mountain pass solutions of a suspension bridge equation ⋮ STUDY ON THE PERTURBED PIECEWISE LINEAR SUSPENSION BRIDGE EQUATION WITH VARIABLE COEFFICIENT ⋮ Boundary Value Problem for One-Dimensional Elliptic Jumping Problem with Crossing $n-$eigenvalues ⋮ Multiplicity results for \(p\)-Laplacian boundary value problem with jumping nonlinearities ⋮ One-dimensional jumping problem involving $p$-Laplacian

Cites Work

• Saddle points and multiple solutions of differential equations
• Nonlinear oscillations in a suspension bridge
• On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence
• Dual variational methods in critical point theory and applications
• Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues II

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