Energy decay of the solution for a weak viscoelastic equation with a time-varying delay
From MaRDI portal
Publication:1653668
DOI10.1007/s10440-017-0142-1zbMath1400.35031OpenAlexW2769966978MaRDI QIDQ1653668
Publication date: 6 August 2018
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-017-0142-1
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Integro-partial differential equations (35R09) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx)
Related Items
Well-posedness and asymptotic stability of solutions to the semilinear wave equation with analytic nonlinearity and time varying delay ⋮ Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights ⋮ Stability and dynamics for Lamé system with degenerate memory and time-varying delay ⋮ Global solvability and general decay of a transmission problem for Kirchhoff-type wave equations with nonlinear damping and delay term ⋮ A general decay estimate for the nonlinear transmission problem of weak viscoelastic equations with time-varying delay ⋮ Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback ⋮ Stability and dynamics of a weak viscoelastic system with memory and nonlinear time-varying delay ⋮ General decay for a viscoelastic equation with time-varying delay in the boundary feedback condition ⋮ Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time behavior of a quasilinear viscoelastic equation with past history
- General decay rate estimate for the energy of a weak viscoelastic equation with an internal time-varying delay term
- A note on stabilization of locally damped wave equations with time delay
- General decay of solutions of a weak viscoelastic equation
- Stabilization of the wave equation with boundary or internal distributed 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
- Blow up at infinity of solutions for integro-differential equation
- Stability results for second-order evolution equations with memory and switching time-delay
- Global existence and exponential decay of the solution for a viscoelastic wave equation with a delay
- Decay rate estimates for a weak viscoelastic beam equation with time-varying delay
- Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay
- Decay estimates for second order evolution equations with memory
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- Stabilization of wave systems with input delay in the boundary control
- Well-posedness and general decay of solution for a transmission problem with viscoelastic term and delay
- General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Exponential Stability of the Wave Equation with Memory and Time Delay
- Well-posedness and exponential stability of an abstract evolution equation with infinite memory and time delay
- General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback
