Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory
DOI10.1007/s40065-020-00295-wzbMath1462.35068OpenAlexW3089007515MaRDI QIDQ2023755
Khaleel Anaya, Kassem Mustapha, Messaoudi A. Salim
Publication date: 3 May 2021
Published in: Arabian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40065-020-00295-w
Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Plates (74K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Abstract hyperbolic equations (35L90) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09)
Cites Work
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- Asymptotic stability of abstract dissipative systems with infinite memory
- Optimal energy decay rate for a class of weakly dissipative second-order systems with memory
- On the nonlinear boundary stabilization of Kirchhoff plates
- Decay rates for viscoelastic plates with memory
- Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
- Asymptotic stability for a viscoelastic equation with nonlinear damping and very general type of relaxation functions
- A general stability result for a nonlinear wave equation with infinite memory
- Coupled second order evolution equations with fading memory: optimal energy decay rate
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
- General decay rate for a class of weakly dissipative second‐order systems with memory
- Magneto-thermo-elasticity---large-time behavior for linear systems
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