References
- Han X, Wang M. Global existence and uniform decay for a non-linear viscoelastic equation with damping. Nonlinear Anal. 2009;70:3090–3098.
- Nicaise S, Pignotti C. Interior feedback stabilization of wave equations with time dependent delay. Electron J Differ Eqs. 2011;41:1–20.
- Zhong QC. Robust control of time-delay systems. London: Springer; 2006.
- 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;24:152–156.
- Shun-Tang Wu. Asymptotic behavior for a viscoelastic wave equation with a delay term. TJM. 2013;17(3):765–784.
- Benaissa A, Benguessoum A, Messaoudi SA. Energy decay of solutions for a wave equation with a constant weak delay and a weak internal feedback. Electron J Qual Theory Differ Equ. 2014;11:1–13.
- Kirane M, Said-Houari B. Existence and asymptotic stability of a viscoelastic wave equation with a delay. Z Angew Math Phys. 2011;62:1065–1082.
- Daewook K. Asymptiotic behavior for the viscoelastic Kirchhoff type equation with an internal time varying delay term. East Asian Math J. 2016;32(03):399–412.
- Mustafa MI, Messaoudi SA. General energy decay for a weakly damped wave equation. Commun Math Anal. 2010;9:1938–9787.
- Lasiecka I. Stabilization of wave and plate-like equation with nonlinear dissipation on the boundary. J Differ Equ. 1989;79:340–381.
- Lasiecka I, Toundykov D. Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms. Nonlinear Anal. 2006;64:1757–1797.
- Lasiecka I, Toundykov D. Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source. Nonlinear Anal. 2008;69:898–910.
- Liu WJ, Zuazua E. Decay rates for dissipative wave equations. Ricerche Mat. 1999;48:61–75.
- Alabau-Boussouira F. Convexity and weighted intgral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems. Appl Math Optim. 2005;51:61–105.
- Nicaise S, Pignotti C. Stability and instability results of the wave equation with a delay term in the boundary or internal feedbacks. SIAMJ Control Optim. 2006;45(05):1561–1585.
- Park JY, Kang JR. Global existence and uniform decay for a nonlinear viscoelastic equation with damping. Acta Appl Math. 2010;110:1393–1406.
- Arnold VI. Mathematical methods of classical mechanics. New York: Springer-Verlag; 1989.
- Lions JL. Quelques methodes de resolution des problemes aux limites non lineaires. Paris (in French): Dunod; 1969.
- Komornik V. Exact controllability and stabilization. the multiplier method. Paris: Masson Wiley; 1994.
- Lasiecka I, Tataru D. Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping. Differ Integral Equ. 1993;6(3):507–533.