On travelling waves in a suspension bridge model as the wave speed goes to zero

DOI10.1016/j.na.2011.03.024zbMath1228.34065OpenAlexW2082472061MaRDI QIDQ544164

Patrick J. McKenna, Alan C. Lazer

Publication date: 14 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.024

zbMATH Keywords

travelling wavesnonlinear beamsuspension bridgesep

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items

On the existence and non-existence of bounded solutions for a fourth order ODE ⋮ Existence and asymptotic behavior of nontrivial solutions to the Swift-Hohenberg equation ⋮ On the Lazer-McKenna conjecture and its applications ⋮ Travelling wave solutions of the beam equation with jumping nonlinearity ⋮ A lower bound for the amplitude of traveling waves of suspension bridges ⋮ On the finite space blow up of the solutions of the Swift-Hohenberg equation ⋮ EXISTENCE AND UNIQUENESS OF WEAK AND CLASSICAL SOLUTIONS FOR A FOURTH-ORDER SEMILINEAR BOUNDARY VALUE PROBLEM

Cites Work

• Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations
• The existence of ground states for fourth-order wave equations
• Nonlinear oscillations in a suspension bridge
• Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
• Solitary waves in nonlinear beam equations: Stability, fission and fusion
• A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam
• Travelling Waves in a Suspension Bridge
• Travelling waves in a nonlinearly suspended beam: some computational results and four open questions
• Homoclinic Solutions for Fourth Order Traveling Wave Equations
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis