References
- Datko R, Lagnese J, Polis MP. An example on the effect of time delays in boundary feedback stabilization of wave equations. SIAM J Control Optim. 1986;24(1):152–156.
- Datko R. Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks. SIAM J Control Optim. 1988;26(3):697–713.
- Nicaise S, Pignotti C. Stability and instability results of the wave equation with a delay term in the boundary or internal feedbacks. SIAM J Control Optim. 2006;45:1561–1585.
- Nicaise S, Pignotti C. Stabilization of the wave equation with boundary or internal distributed delay. Differ Integral Equ. 2008;21(9-10):935–958.
- Xu GQ, Yung SP, Li LK. Stabilization of wave systems with input delay in the boundary control. ESAIM Contr Optim Ca. 2006;12(4):770–785.
- Bastos WD, Raposo CA. Transmission problem for waves with frictional damping. Electron J Differ Equ. 2007;2007(60):10.
- Marzocchi A, Muᵵoz Rivera JE, Grazia Naso M. Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity. Math Method Appl Sci. 2002;25(11):955–980.
- Marzocchi A, Grazia Naso M. Transmission problem in thermoelasticity with symmetry. IMA J Appl Math. 2003;68(1):23–46.
- Muᵵoz Rivera JE, Oquendo HP. The transmission problem of viscoelastic waves. Acta Appl Math. 2000;62(1):21. doi: https://doi.org/10.1023/A:1006449032100.
- Andrade D, Fatori LH, Muᵵoz Rivera JE. Nonlinear transmission problem with a dissipative boundary condition of memory type. Electron J Differ Equ. 2006;2006(53):16.
- Alves MS, Raposo CA, Muᵵoz Rivera JE, et al. Uniform stabilization for the transmission problem of the Timoshenko system with memory. J Math Anal Appl. 2010;369(1):323–345.
- Alabau Boussouira F, Cannarsa P, Sforza D. Decay estimates for second order evolution equations with memory. J Funct Anal. 2008;254(5):1342–1372.
- Cavalcanti MM, Domingos Cavalcanti VN, Prates Filho JS, et al. Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping and memory source term. Nonlinear Anal-Theor. 1999;38:281–294.
- Messaoudi SA, Al Khulaifi W. General and optimal decay for a quasilinear viscoelastic equation. Appl Math Lett. 2017;66:16–22.
- Alabau Boussouira F, Cannarsa P. A general method for proving sharp energy decay rates for memory-dissipative evolution equations. C R Math. 2009;347(15-16):867–872.
- Mustafa MI. Optimal decay rates for the viscoelastic wave equation. Math Method Appl Sci.. 2018;41(1):192–204.
- Benseghir A. Existence and exponential decay of solutions for transmission problems with delay. Electron J Differ Equ. 2014;2014(212):11.
- Li G, Wang D, Zhu B. Well-posedness and decay of solutions for a trans- mission problem with history and delay. Electron J Differ Equ. 2016;2016(23):21.
- Zitouni S, Ardjouni A, Zennir K, et al. Well-posedness and decay of solution for a transmission problem in the presence of infinite history and varying delay. Nonlinear Stud. 2018;25(2):445–465.
- Liu W. General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback. J Math Phys. 2013;54(4):10. doi:https://doi.org/10.1063/1.4799929.
- Nicaise S, Pignotti C. Interior feedback stabilization of wave equations with time dependent delay. Electron J Differ Equ. 2011;41(20):20.
- Fabrizio M, Polidoro S. Asymptotic decay for some differential systems with fading memory. Appl Anal. 2002;81(6):1245–1264.