Stability results for second-order abstract viscoelastic equation in Hilbert spaces with time-varying delay
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Publication:2021515
DOI10.1007/s00033-021-01477-yzbMath1462.35205OpenAlexW3130618023MaRDI QIDQ2021515
Yamna Boukhatem, Houria Chellaoua
Publication date: 27 April 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01477-y
Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Convexity of real functions in one variable, generalizations (26A51) Abstract hyperbolic equations (35L90) Integro-partial differential equations (35R09)
Related Items
ASYMPTOTIC STABILITY FOR A VISCOELASTIC EQUATION WITH THE TIME-VARYING DELAY, 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
Cites Work
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- 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
- Feedback boundary stabilization of wave equations with interior delay
- Existence and asymptotic stability of a viscoelastic wave equation with a delay
- Stability of the heat and of the wave equations with boundary time-varying delays
- Two questions concerning the boundary control of certain elastic systems
- Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
- 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
- General decay for a viscoelastic equation of variable coefficients with a time-varying delay in the boundary feedback and acoustic boundary conditions
- Coupled second order semilinear evolution equations indirectly damped via memory effects
- General decay for viscoelastic plate equation with \(p\)-Laplacian and time-varying delay
- A general method for proving sharp energy decay rates for memory-dissipative evolution equations
- Asymptotic stability for a viscoelastic equation with nonlinear damping and very general type of relaxation functions
- Memory-type plate system with nonlinear delay
- Asymptotic stability for the second order evolution equation with memory
- General decay of solutions of a viscoelastic equation
- Asymptotic stability in viscoelasticity
- Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks
- Exponential stability in linear viscoelasticity
- Stabilization of second order evolution equations with unbounded feedback with delay
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- Asymptotic behaviour of the energy in partially viscoelastic materials
- Asymptotic Decay for Some Differential Systems with Fading Memory
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Optimal decay for second‐order abstract viscoelastic equation in Hilbert spaces with infinite memory and time delay
- A general decay estimate for the nonlinear transmission problem of weak viscoelastic equations with time-varying delay
- General decay rate for a class of weakly dissipative second‐order systems with memory
- Note on intrinsic decay rates for abstract wave equations with memory
