General and optimal decay result for a viscoelastic problem with nonlinear boundary feedback
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Publication:2329455
DOI10.1007/s10883-018-9422-yzbMath1437.35061OpenAlexW2900951530WikidataQ128818404 ScholiaQ128818404MaRDI QIDQ2329455
Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Messaoudi A. Salim
Publication date: 17 October 2019
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-018-9422-y
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Integro-partial differential equations (35R09)
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Cites Work
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- General decay for a wave equation of Kirchhoff type with a boundary control of memory type
- Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations
- Existence and sharp decay rate estimates for a von Karman system with long memory
- On the control of the wave equation by memory-type boundary condition
- Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects
- General and optimal decay for a quasilinear viscoelastic equation
- Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
- Asymptotic stability of abstract dissipative systems with infinite memory
- General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions
- Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- General decay of the solution energy in a viscoelastic equation with a nonlinear source
- On convexity for energy decay rates of a viscoelastic equation with boundary feedback
- General decay rates of solutions to a nonlinear wave equation with boundary condition of memory type.
- On the control of solutions of viscoelastic equations with boundary feedback
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- General and optimal decay for a viscoelastic equation with boundary feedback
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- Coupled second order semilinear evolution equations indirectly damped via memory effects
- A general method for proving sharp energy decay rates for memory-dissipative evolution equations
- General decay rate estimates for viscoelastic dissipative systems
- General decay of solutions of a viscoelastic equation
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- General stability result for viscoelastic wave equations
- General decay for quasilinear viscoelastic equations with nonlinear weak damping
- Optimal decay rates for the viscoelastic wave equation
- Equipartition of energy in linearized 3-D viscoelasticity
- General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
- Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
- A New Approach of Stabilization of Nondissipative Distributed Systems
- Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory
- Note on intrinsic decay rates for abstract wave equations with memory
- General decay of energy for a viscoelastic equation with nonlinear damping
- Uniform decay rates for viscoelastic dissipative systems
