On nonlinear oscillations in a suspension bridge system

DOI10.1090/S0002-9947-01-02864-1zbMath0981.35089OpenAlexW1563837290MaRDI QIDQ2750953

Zhonghai Ding

Publication date: 21 October 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02864-1

zbMATH Keywords

nonlinear oscillationLeray-Schauder degreesuspension bridge system

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items (5)

Small-amplitude nonlinear periodic oscillations in a suspension bridge system ⋮ Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping ⋮ Theoretical and numerical decay results of a viscoelastic suspension bridge with variable exponents nonlinearity ⋮ Existence and stability results of a plate equation with nonlinear damping and source term ⋮ Multiple periodic solutions for suspension bridge systems

Cites Work

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• Mathematical models of suspension bridges.
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• On the multiplicity of the solution set of some nonlinear boundary value problems
• The study of a nonlinear suspension bridge equation by a variational reduction method
• Mathematical Analysis of Dynamic Models of Suspension Bridges
• Multiple periodic solutions for a nonlinear suspension bridge equation
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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