References
- Almeida Júnior DS, Santos ML, Muñoz Rivera JE. Stability to weakly dissipative Timoshenko systems. Math. Meth. Appl. Sci. 2013;36:1965-1976.
- Almeida Júnior DS, Santos ML, Muñoz Rivera JE. Stability to 1-D thermoelastic Timoshenko beam acting on shear force. Z. Angew. Math. Phys. doi: 10.1007/s00033-013-0387-0.
- Ammar-Khodja F, Benabdallah A, Muñoz Rivera JE, et al. Energy decay for Timoshenko systems of memory type. J. Differ. Equ. 2003;194:82-115.
- Apalara TA, Messaoudi SA, Mustafa MI. Energy decay in Thermoelasticity type III with viscoelastic damping and delay term. Elec. J. Diff. Equa. 2012;128:1–15.
- Benaissa A, Benaissa AK, Messaoudi SA. Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks. J. Math. Phys. 2012;53:123514.
- 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;1:152–156.
- Guesmia A. On the stabilization for Timoshenko system with past history and frictional damping controls. Palestine J. Math. 2013;2:187–214.
- Guesmia A. Some well-posedness and general stability results in Timoshenko systems with infinite memory and distributed time delay. J. Math. Phys. 2014;55:081503.
- Guesmia A. Well-posedness and energy decay for Timoshenko systems with discrete time delay under frictional damping and/or infinite memory in the displacement. J. Control Evol. Equ. submitted.
- Guesmia A, Messaoudi SA. On the control of solutions of a viscoelastic equation. Appl. Math. Comput. 2008;206:589–597.
- Guesmia A, Messaoudi SA. General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping. Math. Meth. Appl. Sci. 2009;32:2102–2122.
- Guesmia A, Messaoudi SA. On the stabilization of Timoshenko systems with memory and different speeds of wave propagation. Appl. Math. Comput. 2013;219:9424–9437.
- Guesmia A, Messaoudi SA. A general stability result in a Timoshenko system with infinite memory: a new approach. Math. Meth. Appl. Sci. 2014;37:384–392.
- Guesmia A, Messaoudi SA. Some stability results for Timoshenko systems with cooperative frictional and infinite-memory dampings in the displacement. Acta Math. Sci. To appear.
- Guesmia A, Messaoudi SA, Soufyane A. Stabilization of a linear Timoshenko system with infinite history and applications to the Timoshenko-Heat systems. Electron. J. Differ. Equ. 2012;2012:1–45.
- Guesmia A, Messaoudi S, Wehbe A. Uniform decay in mildly damped Timoshenko systems with non-equal wave speed propagation. Dyn. Syst. Appl. 2012;21:133–146.
- Guesmia A, Tatar N. Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay. Commun. Pure Appl. Anal, 2015;14. doi: 10.3934/cpaa.2015.14.
- Kafini M, Messaoudi SA, Mustafa MI. Energy decay result in a Timoshenko-type system of thermoelasticity of type III with distributive delay. J. Math. Phys. 2013;54:101503.
- Kafini M, Messaoudi SA, Mustafa MI. Energy decay rates for a Timoshenko-type system of thermoelasticity of type III with constant delay. Appl. Anal. doi: 10.1080/00036811.2013.823480.
- Kim JU, Renardy Y. Boundary control of the Timoshenko beam. SIAM J. Control Optim. 1987;25:1417–1429.
- Kirane M, Said-Houari B, Anwar MN. Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks. Commun. Pure Appl. Anal. 2011;10:667–686.
- Komornik V. Exact controllability and stabilization. The multiplier method. Paris: Masson-John Wiley; 1994.
- Messaoudi SA, Apalara TA. Asymptotic stability of thermoelasticity type III with delay term and infinite memory. IMA J. Math. Control Inf. doi: 10.1093/imamci/dnt024.
- Messaoudi SA, Michael P, Said-Houari B. Nonlinear damped Timoshenko systems with second: global existence and exponential stability. Math. Meth. Appl. Sci. 2009;32:505–534.
- Messaoudi SA, Mustafa MI. On the internal and boundary stabilization of Timoshenko beams. Nonlinear Differ. Equ. Appl. 2008;15:655–671.
- Messaoudi SA, Mustafa MI. On the stabilization of the Timoshenko system by a weak nonlinear dissipation. Math. Methods Appl. Sci. 2009;32:454–469.
- Messaoudi SA, Mustafa MI. A stability result in a memory-type Timoshenko system. Dyn. Syst. Appl. 2009;18:457–468.
- Messaoudi SA. and Said-Houari Belkacem, Uniform decay in a Timoshenko-type system with past history. J. Math. Anal. Appl. 2009;360:459–475.
- Muñoz Rivera JE, Fernández Sare HD. Stability of Timoshenko systems with past history. J. Math. Anal. Appl. 2008;339:482–502.
- Muñoz Rivera JE, Racke R. Mildly dissipative nonlinear Timoshenko systems-global existence and exponential stability. J. Math. Anal. Appl. 2002;276:248–278.
- Muñoz Rivera JE, Racke R. Global stability for damped Timoshenko systems. Discrete Contin. Dyn. Syst. 2003;9:1625–1639.
- Muñoz Rivera JE, Racke R. Timoshenko systems with indefinite damping. J. Math. Anal. Appl. 2008;341:1068–1083.
- Mustafa MI, Messaoudi SA. General energy decay rates for a weakly damped Timoshenko system. Dyn.Control Syst. 2010;16:211–226.
- 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;5:1561–1585.
- Nicaise S, Pignotti C. Stabilization of the wave equation with boundary or internal distributed delay. Differ. Integr. Equ. 2008;9–10:935–958.
- Nicaise S, Pignotti C. Interior feedback stabilization of wave equations with time dependent delay. Electron. J. Differ. Equ. 2011;41:1–20.
- Nicaise S, Pignotti C, Valein J. Exponential stability of the wave equation with boundary time-varying delay. Disc. Contin. Dyn. Syst. Ser. S. 2011;3:693–722.
- Nicaise S, Valein J, Fridman E. Stability of the heat and of the wave equations with boundary time-varying delays. Disc. Cont. Dyna. Syst. Series S. 2009;2:559–581.
- Pazy A. Semigroups of linear operators and applications to partial differential equations. New York (NY): Springer-Verlag; 1983.
- Racke R, Said-Houari B. Global existence and decay property of the Timoshenko system in thermoelasticity with second sound. Nonlinear Analysis. 2012;75:4957–4973.
- Racke R, Said-Houari B. Decay rates and global existence for semilinear dissipative Timoshenko systems. Quart. Appl. Math. 2013;71:229–266.
- Raposo CA, Ferreira J, Santos ML, Castro NNO. Exponential stability for the Timoshenko system with two week dampings. Appl. Math. Letters. 2005;18:535–541.
- Said-Houari B. A stability result for a Timoshenko system with past history and a delay term in the internal feedback. Dyn. Syst. Appl. 2011;20:327–354.
- Said-Houari B, Kasimov A. Decay property of Timoshenko system in thermoelasticity. Math. Meth. Appl. Sci. 2012;35:314–333.
- Said-Houari B, Kasimov A. Damping by heat conduction in the Timoshenko system: Fourier and Cattaneo are the same. J. Diff. Equa. 2013;255:611–632.
- Said-Houari B, Laskri Y. A stability result of a Timoshenko system with a delay term in the internal feedback. Appl. Math. Comput. 2010;217:2857–2869.
- Said-Houari B, Soufyane A. Stability result of the Timoshenko system with delay and boundary feedback. IMA J. Math. Control Inf. 2012;29:383–398.
- Santos ML, Almeida Júnior DS, Muñoz Rivera JE. The stability number of the Timoshenko system with second sound. J. Differ. Equ. 2012;253:2715-2733.
- Soufyane A, Wehbe A. Uniform stabilization for the Timoshenko beam by a locally distributed damping. Elecron. J. Differ. Equ. 2003;29:1–14.
- Timoshenko S. On the correction for shear of the differential equation for transverse vibrations of prismaticbars. Philis. Mag. 1921;41:744–746.