A boundary condition with memory for the Kirchhoff plate equations with non‐linear dissipation

DOI10.1002/mma.677zbMath1094.35072OpenAlexW2051878527MaRDI QIDQ5469166

Jum-Ran Kang, Jong Yeoul Park

Publication date: 16 May 2006

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.677

zbMATH Keywords

Lyapunov functionalexponential decayGalerkin approximationKirchhoff plate equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (7)

General decay for Kirchhoff plates with a boundary condition of memory type ⋮ Integrodifferential equations with applications to a plate equation with memory ⋮ Existence of global attractors for the nonlinear plate equation with memory term ⋮ Kirchhoff plates with viscous boundary dissipation ⋮ On the asymptotic stability for Kirchhoff plates with viscoelastic dissipation ⋮ Stability for the Kirchhoff plates equations with viscoelastic boundary conditions in noncylindrical domains ⋮ Optimal decay result for Kirchhoff plate equations with nonlinear damping and very general type of relaxation functions

Cites Work

• Unnamed Item
• Exact formulas for the general solution of a class of standard ordinary linear differential equations. I

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