References
- Timoshenko SP. On the correction for shear of the differential equation for transverse vibrations of prismatic bars. Philos Mag Ser. 1921;6(41):744–746.
- Timoshenko SP. Vibration problems in engineering. New York: Van Nostrand; 1955.
- Malacarne A, Munoz Rivera JE. Lack of exponential stability to Timoshenko system with viscoelastic Kelvin–Voigt type. ZA Math Phys. 2016;67(3):67.
- Fernández Sare HD, Racke R. On the stability of damped Timoshenko systems: Cattaneo versus Fourier law. Arch Ration Mech Anal. 2009;194(1):221–251.
- Santos ML, Almeida Júnior DS, Muńoz Rivera JE. The stability number of the Timoshenko system with second sound. J Differ Equ. 2012;253(9):2715–2733.
- Raposo CA, Ferreira J, Santos ML, et al. Exponential stability for the Timoshenko system with two weak dampings. Appl Math Lett. 2005;18(5):535–541.
- Soufyane A, Whebe A. Uniform stabilization for the Timoshenko beam by a locally distributed damping. Electron J Diff Equ, Paper No. 29, 2003.
- Alves MO, Tavares EHG, Silva MAJ, et al. On modelling and uniform stability of a partially dissipative viscoelastic Timoshenko system. SIAM J Math Anal. 2019;51(6):4520–4543.
- Ammar-Khodja F, Benabdallah A, Muñoz Rivera JE, et al. Energy decay for Timoshenko systems of memory type. J Differ Equ. 2003;194(1):82–115.
- Guesmia A, Messaoudi SA. On the control of a viscoelastic damped Timoshenko-type system. Appl Math Comput. 2008;2062:589–597.
- Guesmia A, Messaoudi SA. General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping. Math Meth Appl Sci. 2009;32(16):2102–2122.
- 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(193):1–45.
- Messaoudi SA, Mustafa MI. A stability result in a memory-type Timoshenko system. Dyn Syst Appl. 2009;183(4):457–468.
- El Arwadi T, Youssef W. On the stabilization of the Bresse beam with Kelvin–Voigt damping. Appl Math Optim. 2021;83:1831–1857.
- Soufyane A. Stabilisation de la poutre de Timoshenko. C R Acad Sci Paris Sér I. 1999;328:731–734.
- Aguilera Contreras G, Muñoz Rivera JE. Stability of a Timoshenko system with localized Kelvin–Voigt dissipation. Appl Math Optim. 2021;84(3):3547–3563.
- Liu Z, Zhang Q. Stability and regularity of solution to the timoshenko beam equation with local kelvin–voigt damping. SIAM J Contr Optim. 2018;56(6):3919–3947.
- Tian X, Zhang Q. Stability of a Timoshenko system with local Kelvin–Voigt damping. Z Angew Math Phys. 2017;68:20.
- Wehbe A, Ghader M. A transmission problem for the Timoshenko system with one local Kelvin–Voigt damping and non-smooth coefficient at the interface. Comput Appl Math. 2021;40:297.
- Zhao HL, Liu KS, Zhang CG. Stability for the Timoshenko beam system with local Kelvin–Voigt damping. Acta Math Sinica Eng Ser. 2005;21(3):655–666.
- Lei Y, Adhikari S, Friswell MI. Vibration of nonlocal Kelvin–Voigt viscoelastic damped Timoshenko beams. Int J Eng Sci. 2013;66:1–13.
- Muñoz Rivera JE, Racke R. Mildly dissipative nonlinear Timoshenko systems – global existence and exponential stability. J Math Anal Appl. 2002;276:248–278.
- Almeida Júnior DdS, Santos ML, Muñoz Rivera JE. Stability to 1-D thermoelastic Timoshenko beam acting on shear force. Z Angew Math Phys. 2014;65:1233–1249.
- Apalara TA. General stability of memory-type thermoelastic Timoshenko beam acting on shear force. Continuum Mech Thermodyn. 2018;30:291–300.
- Enyi CD, Feng B. Stability result for a new viscoelastic–thermoelastic Timoshenko system. Bull Malaysian Math Sci Soc. 2021;44(4):1837–1866.
- Enyi CD, Mukiawa SE, Apalara TA. Stabilization of a new memory-type thermoelastic Timoshenko system. Appl Anal. 1–22 (2022).
- Fatori LH, Monteiro RN, Fernández Sare HD. The Timoshenko system with history and Cattaneo law. Appl Math Comput. 2014;228:128–140.
- Apalara TA. Well-posedness and exponential stability for a linear damped Timoshenko system with second sound and internal distributed delay. Electron J Differ Equ. 2014;254(2014):1–15.
- Apalara TA, Messaoudi SA. An exponential stability result of a Timoshenko system with thermoelasticity with second sound and in the presence of delay. Appl Math Optim. 2015;71(3):449–472.
- Apalara TA, Messaoudi SA, Keddi AA. On the decay rates of Timoshenko system with second sound. Math Methods Appl Sci. 2016;39(10):2671–2684.
- Enyi CD. Dynamics of a new thermoelastic Timoshenko system with second sound. Results Appl Math. 2021;12:100204.
- Pazzy A. Semigroups of linear operators and application to PDE, Applied Mathematical Sciences Vol. 44. Springer; 1983.