References
[1] M.M. Al-Gharabli, A.M. Al-Mahdi, and S.A. Messaoudi, General and optimal decayresult for a viscoelastic problem with nonlinear boundary feedback, J. Dyn. ControlSyst. 25 (2019), No. 4, 551–572. CrossRef

[2] F. Alabau-Boussouira and P. Cannarsa, A general method for proving sharp energydecay rates for memory-dissipative evolution equations, Compt. Rend. Math. 347(2009), No. 15, 867–872. CrossRef

[3] V.I. Arnold, Mathematical Methods of Classical Mechanics, 60, Springer Science& Business Media, 2013.

[4] G. Avalos, I. Lasiecka, and R. Rebarber, Uniform decay properties of a model instructural acoustics, J. Math. Pures Appl. 79 (2000), No. 10, 1057–1072. CrossRef

[5] J.T. Beale, Spectral properties of an acoustic boundary condition, Indiana Univ.Math. J. 25 (1976), No. 9, 895–917. CrossRef

[6] J.T. Beale and S.I. Rosencrans, Acoustic boundary conditions, Bull. Am. Math.Soc. 80 (1974), No. 6, 1276–1279. CrossRef

[7] Y. Boukhatem and B. Benabderrahmane, Existence and decay of solutions for aviscoelastic wave equation with acoustic boundary conditions, Nonlinear Anal. 97(2014), 191–209. CrossRef

[8] Y. Boukhatem and B. Benabderrahmane, General decay for a viscoelastic equationof variable coefficients with a time-varying delay in the boundary feedback andacoustic boundary conditions, Acta Math. Sci. 37 (2017), No. 5, 1453–1471. CrossRef

[9] Y. Boukhatem and B. Benabderrahmane, Asymptotic behavior for a past historyviscoelastic problem with acoustic boundary conditions, Appl. Anal. 99 (2020), No.2, 249–269. CrossRef

[10] P. Braz e Silva, H.R. Clark, and C.L. Frota, On a nonlinear coupled system ofthermoelastic type with acoustic boundary conditions, Comput. Appl. Math. 36(2017), No. 1, 397–414. CrossRef

[11] M.M. Cavalcanti, V.N.D. Cavalcanti, J.S.P. Filho, and J.A. Soriano, Existence anduniform decay rates for viscoelastic problems with nonlinear boundary damping,Differential Integral Equations 14 (2001), No. 1, 85–116.

[12] C.M. Dafermos, Asymptotic stability in viscoelasticity, Arch. Ration. Mech. Anal.37 (1970), No. 4, 297–308. CrossRef

[13] R. Datko, J. Lagnese, and M.P. Polis, An example on the effect of time delays inboundary feedback stabilization of wave equations, SIAM J. Control Optim. 24(1986), No. 1, 152–156. CrossRef

[14] A. Fareh and S.A. Messaoudi, Stabilization of a type III thermoelastic Timoshenkosystem in the presence of a time-distributed delay, Math. Nachr. 290 (2017), No.7, 1017–1032. CrossRef

[15] T.B. Fastovska, On the Long-time behavior of the thermoelastic plates with secondsound, Zh. Mat. Fiz. Anal. Geom. 9 (2013), No. 2, 191–206

[16] E. Fridman, S. Nicaise, and J. Valein, Stabilization of second order evolution equations with unbounded feedback with time-dependent delay, SIAM J. Control Optim.48 (2010), No. 8, 5028–5052. CrossRef

[17] C.L. Frota and N.A. Larkin, Uniform stabilization for a hyperbolic equation withacoustic boundary conditions in simple connected domains, Contributions to nonlinear analysis, Birkhäuser Basel, 2005, pp. 297–312. CrossRef

[18] A.E. Green and P.M. Naghdi, Thermoelasticity without energy dissipation. J.Elasticity 31 (1993), No. 3, 189–208. CrossRef

[19] A. Guesmia, Asymptotic stability of abstract dissipative systems with infinite memory, J. Math. Anal. Appl. 382 (2011), No. 2, 748–760. CrossRef

[20] A. Guesmia and N.-e. Tatar, Some well-posedness and stability results for abstracthyperbolic equations with infinite memory and distributed time delay, Commun.Pure Appl. Anal. 14 (2014), No. 2, 457–491. CrossRef

[21] M. Kafini, S.A. Messaoudi, and M.I. Mustafa, Energy decay rates for a Timoshenkotype system of thermoelasticity of type III with constant delay, Appl. Anal. 93(2014), No. 6, 1201–1216. CrossRef

[22] M. Kirane and B. Said-Houari, Existence and asymptotic stability of a viscoelasticwave equation with a delay, Z. Angew. Math. Phys. 62 (2011), No. 6, 1065–108. CrossRef

[23] V. Komornik, Exact controllability and stabilization : the multiplier method, 39,Wiley Chichester, 1994.

[24] I. Lasiecka, S.A. Messaoudi, and M.I. Mustafa, Note on intrinsic decay rates forabstract wave equations with memory, J. Math. Phys. 54 (2013), No. 3, 031504. CrossRef

[25] I. Lasiecka and D. Tataru, Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping, Differential Integral Equations 6 (1993),No. 3, 507–533.

[26] Z. Liu and S. Zheng, Semigroups associated with dissipative systems, 398, CRCPress, 1999.

[27] S.A. Messaoudi, General decay of solutions of a viscoelastic equation, J. Math.Anal. Appl. 341 (2008), No. 2, 1457–1467. CrossRef

[28] M.M. Miranda and L.A. Medeiros, On boundary value problem for wave equations:Existence Uniqueness-Asymptotic behavior, Rev. Mat. Apl. 17 (1996), No. 2, 47–73.

[29] P.M. Morse and K.U. Ingard, Theoretical acoustics, Princeton University Press,Princeton, NJ, 1986.

[30] J.E. Muñoz Rivera and M.G. Naso, Asymptotic stability of semigroups associatedwith linear weak dissipative systems with memory, J. Math. Anal. Appl. 326 (2007),No. 1, 691–707. CrossRef

[31] M.I. Mustafa, A uniform stability result for thermoelasticity of type III with boundary distributed delay, J. Math. Anal. Appl. 415 (2014), No. 1, 148–158. CrossRef

[32] M.I. Mustafa, Asymptotic stability for the second order evolution equation withmemory, J. Dyn. Control Syst. 25 (2019), No. 2, 263–273. CrossRef

[33] M.I. Mustafa, Optimal decay rates for the viscoelastic wave equation, Math. Methods Appl. Sci. 41 (2018), No. 1, 192–204. CrossRef

[34] M.I. Mustafa and S.A. Messaoudi, General stability result for viscoelastic waveequations, J. Math. Phys. 53 (2012), No. 5, 053702. CrossRef

[35] S. Nicaise and C. Pignotti, Stability and instability results of the wave equationwith a delay term in the boundary or internal feedbacks, SIAM J. Control Optim.45 (2006), No. 5, 1561–1585. CrossRef

[36] J.Y. Park and S.H. Park, Decay rate estimates for wave equations of memory typewith acoustic boundary conditions, Nonlinear Anal. 74 (2011), No. 3, 993–998. CrossRef

[37] V. Pata, Exponential stability in linear viscoelasticity with almost flat memorykernels, Commun. Pure Appl. Anal. 9 (2010), No. 3, 721–730. CrossRef

[38] R. Racke, Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity withsecond sound, Quart. Appl. Math. 61 (2003), No. 2, 315–328. CrossRef

[39] M. A. Tarabek, On the existence of smooth solutions in one-dimensional nonlinearthermoelasticity with second sound, Quart. Appl. Math. 50 (1992), No. 4, 727–742. CrossRef

[40] X. Zhang and E. Zuazua, Decay of solutions of the system of thermoelasticity oftype III, Commun. Contemp. Math. 5 (2003), No. 1, 25–83. CrossRef

[41] E. Zuazua, Controllability of the linear system of thermoelasticity, J. Math. PuresAppl. 74 (1995), No. 4, 291–316.