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General decay result for nonlinear viscoelastic equations (Q2405363)

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Language	Label	Description	Also known as
English	General decay result for nonlinear viscoelastic equations	scientific article

Statements

scholarly article

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General decay result for nonlinear viscoelastic equations (English)

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Muhammad I. Mustafa

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Journal of Mathematical Analysis and Applications

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publication date

25 September 2017

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zbMATH Keywords

viscoelastic damping

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relaxation function

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jmaa.2017.08.019

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A general method for proving sharp energy decay rates for memory-dissipative evolution equations

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Decay estimates for second order evolution equations with memory

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Existence and decay of solutions of a viscoelastic equation with a nonlinear source

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Decay rates of solutions of an anisotropic inhomogeneous \(n\)-dimensional viscoelastic equation with polynomially decaying kernels

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Integro-differential equations of hyperbolic type with positive definite kernels

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Existence and sharp decay rate estimates for a von Karman system with long memory

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Existence and uniform decay for a non-linear viscoelastic equation with strong damping

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Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects

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Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density

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An abstract Volterra equation with applications to linear viscoelasticity

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Asymptotic stability in viscoelasticity

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Asymptotic stability of abstract dissipative systems with infinite memory

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General decay of energy for a viscoelastic equation with nonlinear damping

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Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data

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Coupled second order evolution equations with fading memory: optimal energy decay rate

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Note on intrinsic decay rates for abstract wave equations with memory

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Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping

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Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory

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General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms

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General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source

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General decay of solutions of a viscoelastic equation

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General decay of the solution energy in a viscoelastic equation with a nonlinear source

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Global existence and uniform stability of solutions for a quasilinear viscoelastic problem

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Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory

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Asymptotic behaviour of the energy in partially viscoelastic materials

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Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations

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On the control of the wave equation by memory-type boundary condition

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Uniform decay rates for viscoelastic dissipative systems

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General stability result for viscoelastic wave equations

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General decay for quasilinear viscoelastic equations with nonlinear weak damping

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General decay for a wave equation of Kirchhoff type with a boundary control of memory type

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Coupled second order semilinear evolution equations indirectly damped via memory effects

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Identifiers

zbMATH Open document ID

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10.1016/j.jmaa.2017.08.019

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2405363

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