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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 4
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Articles

Long-time dynamics for a nonlinear Timoshenko system with delay

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Pages 606-625 | Received 07 Sep 2015, Accepted 26 Jan 2016, Published online: 23 Feb 2016

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Read on this site (2)

Mirelson M. Freitas, Tijani A. Apalara, Anderson J. A. Ramos & Rafael S. Costa. (2023) Attractors for partially damped systems of binary mixtures of solids. Applicable Analysis 102:18, pages 5103-5122.
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Dridi Hanni, Baowei Feng & Khaled Zennir. (2022) Stability of Timoshenko system coupled with thermal law of Gurtin-Pipkin affecting on shear force. Applicable Analysis 101:15, pages 5171-5192.
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Abdelbaki Choucha, Djamel Ouchenane, Safa M. Mirgani, Eltigan I. Hassan, A. H. A. Alfedeel & Khaled Zennir. (2024) Exploring Thermoelastic Effects in Damped Bresse Systems with Distributed Delay. Mathematics 12:6, pages 857.
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M.M. Freitas, D.S. Almeida Júnior, L.G.R. Miranda, A.J.A. Ramos & R.Q. Caljaro. (2023) Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds. Asymptotic Analysis 135:1-2, pages 1-23.
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Carlos A. Nonato, Manoel J. Dos Santos, Jorge A. J. Avila & Carlos A. Raposo. (2023) A stability and numerical study of the solutions of a Timoshenko system with distributed delay. Mathematische Nachrichten 296:5, pages 2090-2108.
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Zhiqing Liu & Zhong Bo Fang. (2023) A new general decay for a transmission problem of viscoelastic Timoshenko systems. Mathematische Nachrichten 296:5, pages 1997-2023.
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Mirelson M Freitas, Dilberto S Almeida Júnior, Mauro L Santos, Anderson JA Ramos & Ronal Q Caljaro. (2022) Dynamics of locally damped Timoshenko systems. Mathematics and Mechanics of Solids 28:4, pages 1012-1034.
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Adel M. Al-Mahdi & Mohammad M. Al-Gharabli. (2023) Energy Decay Estimates of a Timoshenko System with Two Nonlinear Variable Exponent Damping Terms. Mathematics 11:3, pages 538.
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Adel M. Al-Mahdi. (2023) Long-time behavior for a nonlinear Timoshenko system: Thermal damping versus weak damping of variable-exponents type. AIMS Mathematics 8:12, pages 29577-29603.
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. (2023) Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights. Discrete and Continuous Dynamical Systems - B 28:3, pages 2224-2245.
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Wenjun Liu & Weifan Zhao. (2022) Quasi-Stability and Attractor for a Laminated-Coleman-Gurtin Beam Without Structural Damping. Acta Applicandae Mathematicae 180:1.
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C. A. S. Nonato, A. J. A. Ramos, C. A. Raposo, M. J. Dos Santos & M. M. Freitas. (2021) Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights. Zeitschrift für angewandte Mathematik und Physik 73:1.
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Baowei Feng, Carlos Alberto Raposo, Carlos Alberto Nonato & Abdelaziz Soufyane. (2022) Analysis of exponential stabilization for Rao-Nakra sandwich beam with time-varying weight and time-varying delay: Multiplier method versus observability. Mathematical Control & Related Fields 0:0, pages 0.
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Aowen Kong, Carlos Nonato, Wenjun Liu, Manoel Jeremias dos Santos & Carlos Raposo. (2022) Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights. Discrete and Continuous Dynamical Systems - B 27:6, pages 2959.
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Yuming Qin & Ye Sheng. (2021) Global existence, asymptotic behavior and uniform attractor for a non-autonomous Timoshenko system of type III with weak damping. Asymptotic Analysis 125:1-2, pages 133-157.
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Xin-Guang Yang, Jing Zhang & Yongjin Lu. (2018) Dynamics of the Nonlinear Timoshenko System with Variable Delay. Applied Mathematics & Optimization 83:1, pages 297-326.
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A. J. A. Ramos, A. Ö. Özer, M. M. Freitas, D. S. Almeida Júnior & J. D. Martins. (2021) Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback. Zeitschrift für angewandte Mathematik und Physik 72:1.
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Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Aissa Guesmia & Salim A. Messaoudi. (2021) New decay results for a viscoelastic-type Timoshenko system with infinite memory. Zeitschrift für angewandte Mathematik und Physik 72:1.
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Manoel J. Dos Santos, Baowei Feng, Dilberto S. Almeida Júnior & Mauro L. Santos. (2021) Global and exponential attractors for a nonlinear porous elastic system with delay term. Discrete & Continuous Dynamical Systems - B 26:5, pages 2805.
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Anderson J. A. Ramos, Manoel J. Dos Santos, Mirelson M. Freitas & Dilberto S. Almeida Júnior. (2019) Existence of Attractors for a Nonlinear Timoshenko System with Delay. Journal of Dynamics and Differential Equations 32:4, pages 1997-2020.
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Soh Edwin Mukiawa & Cyril Dennis Enyi. (2020) Well-posedness and Attractors for a Memory-type Thermoelastic Timoshenko Beam Acting on Shear Force. Taiwanese Journal of Mathematics 24:5.
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Moncef Aouadi. (2020) Global and exponential attractors for extensible thermoelastic plate with time-varying delay. Journal of Differential Equations 269:5, pages 4079-4115.
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M. J. Dos Santos, M. M. Freitas, A. J. A. Ramos, D. S. Almeida Júnior & L. R. S. Rodrigues. (2020) Long-time dynamics of a nonlinear Timoshenko beam with discrete delay term and nonlinear damping. Journal of Mathematical Physics 61:6.
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Abdelbaki Choucha, Djamel Ouchenane, Khaled Zennir & Baowei Feng. (2020) Global well‐posedness and exponential stability results of a class of Bresse‐Timoshenko‐type systems with distributed delay term. Mathematical Methods in the Applied Sciences.
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B. Feng, D. S. AlmeidaJuniorJunior, M. J. dos Santos & L. G. Rosário Miranda. (2019) A new scenario for stability of nonlinear Bresse‐Timoshenko type systems with time dependent delay. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100:2.
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Vanessa Barros, Carlos Nonato & Carlos Raposo. (2020) Global existence and energy decay of solutions for a wave equation with non-constant delay and nonlinear weights. Electronic Research Archive 28:1, pages 205-220.
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D S Almeida Júnior, I Elishakoff, A J A Ramos & L G Rosário Miranda. (2019) The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases†. IMA Journal of Applied Mathematics 84:4, pages 763-796.
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Moncef Aouadi & Alberto Castejón. (2019) Properties of global and exponential attractors for nonlinear thermo-diffusion Timoshenko system. Journal of Mathematical Physics 60:8.
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B. Feng, T. F. Ma, R. N. Monteiro & C. A. Raposo. (2017) Dynamics of Laminated Timoshenko Beams. Journal of Dynamics and Differential Equations 30:4, pages 1489-1507.
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Sun Hye Park. (2018) Long-time dynamics of a von Karman equation with time delay. Applied Mathematics Letters 75, pages 128-134.
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Baowei Feng. (2017) On a semilinear Timoshenko-Coleman-Gurtin system: Quasi-stability and attractors. Discrete & Continuous Dynamical Systems - A 37:9, pages 4729-4751.
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