Exponential decay of the solutions of the beams system

DOI10.1016/S0362-546X(99)00155-8zbMath0969.35130OpenAlexW2002396723WikidataQ127674020 ScholiaQ127674020MaRDI QIDQ1586671

Osmundo Alves de Lima, Milton de Lacerda Oliveira

Publication date: 1 October 2001

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/s0362-546x(99)00155-8

zbMATH Keywords

existenceHilbert spaceexponential decay of the energyabstract beams systemHilbertian integral

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items (15)

Parameter identification problems for an extensible beam equation ⋮ Energy decay for a viscoelastic Kirchhoff plate equation with a delay term ⋮ Global well-posedness and stability for a viscoelastic plate equation with a time delay ⋮ Optimal control problem for a viscoelastic beam and its Galerkin approximation ⋮ Fréchet differentiability for an extensible beam equation and its application to bilinear minimax control problems ⋮ Minimax optimal control problems for an extensible beam equation with uncertain initial velocity ⋮ Energy decay and blow-up of solution for a Kirchhoff equation with dynamic boundary condition ⋮ Pareto optimal control problem and its Galerkin approximation for a nonlinear one-dimensional extensible beam equation ⋮ Optimal control problems for an extensible beam equation ⋮ Global attractor for an extensible beam equation with localized nonlinear damping and linear memory ⋮ Uniform attractors for a nonautonomous extensible plate equation with a strong damping ⋮ Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms ⋮ Optimal control problems for an extensible beam equation with pointwise state constraints ⋮ General decay for a nonlinear beam equation with weak dissipation ⋮ Decay rate estimates for a weak viscoelastic beam equation with time-varying delay

Cites Work

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• Nonplanar oscillation of beams under periodic forcing
• Non-planar, non-linear oscillations of a beam. I: Forced motions
• Mathematical analysis of the nonlinear model for the vibrations of a string
• Stability of Nonlinear Oscillations of an Elastic Rod

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