References
- Zang S, Zhuang W. The strain solitary waves in a nonlinear elastic rod. Acta Mech Sin. 1998;20(1):58–67.
- Sayler C, Fonstermacher D. A symmetric regularized Long Wave equation. Phys Fluids. 1984;27(1):58–66.
- Bogolubsky L. Some examples of inelastic soliton interaction. Comput Phys Commun. 1977;13:149–155.
- Messaoudi S, Tatar N. Global existence and uniform stability of solutions for a quasilinear viscoelastic problem. Math Methods Appl. 2007;30:665–680.
- Cavalcanti M, Domingos Cavalcanti V, Ferreira J. Existence and uniform decay for a non-linear viscoelastic equation with strong damping. Math Methods Appl Sci. 2001;24:1043–1053.
- Cavalcanti M, Domingos Cavalcanti V, Ma TF, et al. Global existence and asymptotic stability for viscoelastic problems. Differ Integral Equ. 2002;15:731–748.
- Cavalcanti M, Domingos Cavalcanti V, Martinez P. General decay rate estimates for viscoelastic dissipative systems. Nonlinear Anal. 2008;68:177–193.
- Messaoudi S, Tatar N. Exponential decay for a quasilinear viscoelastic equation. Math Nachr. 2009;282:1443–1450.
- Sun C, Cao D, Duan J. Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity. Nonlinearity. 2006;19:2645–2665.
- Han X, Wang M. General decay of energy for a viscoelastic equation with nonlinear damping. Math Methods Appl Sci. 2009;32(3):346–358.
- Han X, Wang M. Global existence and uniform decay for a nonlinar viscoelastic equation with damping. Nonlinear Anal. 2009;70(9):3090–3098.
- Park J, Park S. General decay for quasiliear viscoelastic equations with nonlinear weak damping. J Math Phys. 2009;50:1–10.
- Araújo R, Ma T, Qin Y. Long-time behavior of a quasilinear viscoelastic equation with past history. J Differ Equ. 2013;254:4066–4087.
- Messaoudi S, Tatar N. Global existence and uniform decay of solutions for a quasilinear viscoelastic problem. Math Methods Appl Sci. 2007;30:665–680.
- Messaoudi S. Blow-up and global existence in a nonlinear viscoelastic wave equation. Math Nachr. 2003;260:58–66.
- Messaoudi S. Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation. J Math Anal Appl. 2006;320:902–915.
- Park J, Park S. General decay for quasiliear viscoelastic equations with nonlinear weak damping. J Math Phys. 2009;50:1–10.
- Qin Y, Feng B, Zhang M. Uniform attractors for a non-autonomous viscoelastic equation with a past history. Nonlinear Theory Methods Appl. 2014;101:1–15.
- Conti M, Ma TF, Marchini EM, et al. Asymptotics of viscoelastic materials with nonlinear density and memory effects. J Differ Equ. 2018;264:4235–4259.
- Peng X, Yadong S. Attractors for a quasilinear viscoelastic equation with nonlinear damping and memory. AIMS Math. 2021;6(1):543–563.
- Zhang JW, Xie YQ. Asymptotic behavior for a class of viscoelastic equations with memory lacking instantaneous damping. AIMS Math. 2021;6(9):9491–9509.
- Leuyacc YRS, Parejas JLC. Upper semicontinuity of global attractors for a viscoelastic equations with nonlinear density and memory effects. Math Methods Appl Sci. 2019;42(3):871–882.
- Li F, Jia Z. Global existence and stability of a class of nonlinear evolution equations with hereditary memory and variable density. Bound Value Probl. 2019;2019(1):1–23.
- Xie Y, Li Q, Zhu K. Attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity. Nonlinear Anal2016;31:23–37.
- Xie Y, Li Y, Zeng Y. Uniform attractors for nonclassical diffusion equations with memory. J Funct Spaces. 2016;2016(3–4):1–11.
- Dafermos CM. Asymptotic stability in viscoelasticity. Arch Ration Mech Anal. 1970;37(4):297–308.
- Zeng Y, Li Y, Xie Y, et al. Asymptotic regularity and uniform attractor for non-autonomous viscoelastic equations with memory. Int Conf Appl Math Model Stat Appl. 2017;141:1–10.
- Robinson J.. Robinson: infinite-dimensional dynamical dystems. Cambridge: Cambridge University Press; 2001.
- Sun C, Yang M. Dynamics of the nonclassical diffusion equation. Asymptot Anal. 2008;59:51–81.
- Conti M, Dell'Oro F, Pata V. Nonclassical diffusion equation with memory lacking instantaneous damping. Commun Pure Appl Anal. 2020;19:2035–2050.
- Xie Y, Zhong C. Asymptotic behavior of a class of nonlinear evolution equations. Nonlinear Anal. 2009;71(11):5095–5105.