Periodic solutions of a nonlinear suspension bridge equation with damping and nonconstant load
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Publication:1874617
DOI10.1016/S0022-247X(03)00035-0zbMath1029.35022OpenAlexW2015792079MaRDI QIDQ1874617
Publication date: 25 May 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00035-0
Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)
Related Items (7)
Multiple doubly periodic solutions of semi-linear damped beam equations ⋮ Studies on bifurcation and chaos of a string-beam coupled system with two degrees-of-freedom ⋮ Torsional asymmetry in suspension bridge systems. ⋮ Strong uniform attractors for nonautonomous suspension bridge-type equations ⋮ Strong pullback attractors for nonautonomous suspension bridge equations ⋮ Uniform attractors for non-autonomous suspension bridge-type equations ⋮ Ambrosetti-Prodi type result in semi-linear damped beam equations
Cites Work
- On the range of wave operators
- Nonlinear oscillations in a suspension bridge
- Multiplicity result for semilinear dissipative hyperbolic equations
- Numerical mountain pass solutions of a suspension bridge equation
- Travelling Waves in a Suspension Bridge
- A nonlinear suspension bridge equation with nonconstant load
- Nontrivial solutions for some fourth order semilinear elliptic problems
- A semilinear beam equation with nonconstant loads
- Multiplicity results for a fourth-order semilinear elliptic problem
- Mathematical Analysis of Dynamic Models of Suspension Bridges
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
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