General decay for a viscoelastic equation of variable coefficients in the presence of past history with delay term in the boundary feedback and acoustic boundary conditions

DOI10.1007/S10440-017-0137-YzbMath1390.35187OpenAlexW2769279297MaRDI QIDQ1744066

Yamna Boukhatem, Benyattou Benabderrahmane

Publication date: 16 April 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-017-0137-y

zbMATH Keywords

delay termvariable coefficientsgeneral decaypast historyacoustic boundary conditionsviscoelastic equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)

Related Items (8)

General decay for second-order abstract viscoelastic equation in Hilbert spaces with time delay ⋮ Well-posedness and stability for an abstract evolution equation with history memory and time delay in Hilbert space ⋮ Energy decay for wave equation of variable coefficients with dynamic boundary conditions and time-varying delay ⋮ New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions ⋮ Stability results for second-order abstract viscoelastic equation in Hilbert spaces with time-varying delay ⋮ Unnamed Item ⋮ The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces ⋮ Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping

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