References
- S. Berrimi and S.A. Messaoudi, Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping, Electron. J. Differential Equations, 88 (2004), 1-10.
- Cavalcanti,M.M., Domingos Cavalcanti,V.N. and Ferreira,J., Existence and uniform decay for nonlinear viscoelastic equation with strong damping, Math. Meth. Appl. Sci. 24 (2001), 1043-1053. https://doi.org/10.1002/mma.250
- M.M. Cavalcanti, V.M. Domingos Cavalcanti and J.A. Soriano, Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping, Electron. J. Differential Equations, 44 (2002), 1-14.
- W.J. Liu, General decay and blow-up of solution for a quasilinear viscoelastic problem with nolinear source, Nonlinear Anal. 73 (2010), 1890-1904. https://doi.org/10.1016/j.na.2010.05.023
- W.J. Liu, General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms, J. Math. Phys., 50 no.11 (2009), 113506. https://doi.org/10.1063/1.3254323
- W.J. Liu and J. Yu, it On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms, Nonl. Anal., 74 no.6 (2011), 2175-2190. https://doi.org/10.1016/j.na.2010.11.022
- S.A. Messaoudi and N.E.Tatar, Global existence and asymptotic behavior for a nonlinear viscoelastic problem, Math. Methods Sci. Res. J. 7 (4) (2003), 136-149.
- S.A. Messaoudi and N.E.Tatar, Global existence and uniform stability of solutions for quasilinear viscoelastic problem, Math. Meth. Appl. Sci. 30 (2007), 665-680. https://doi.org/10.1002/mma.804
- S.A. Messaoudi, General decay of the solution energy in a viscoelastic equation with a nonlinear source, Nonlinear Anal. 69 (2008), 2589-2598. https://doi.org/10.1016/j.na.2007.08.035
- K. Shin and S. Kang, General decay of the solutions of momlinear viscoelastic wave equation, East Asian Math. J., 32 (2016), 651-658. https://doi.org/10.7858/eamj.2016.045
- L.E. Payne and D.H. Sattinger, Saddle points and instability of nonlinear hyperbolic equations, Israel Math. J. 22 (1975), 273-303. https://doi.org/10.1007/BF02761595
- S.T. Wu, General decay and blow-up of solutions for a viscoelastic equation with a nonlinear boundary damping-source interactions, Z. Angew. Math. Phys., 63 no.1 (2012), 65-106. https://doi.org/10.1007/s00033-011-0151-2