2018
DOI: 10.1216/jie-2018-30-1-117
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General and optimal decay in a memory-type Timoshenko system

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Cited by 19 publications
(10 citation statements)
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“…He proved the well-posedness, and proved that the system is exponentially stable regardless of the speeds of wave propagation.There are many other papers in the literature dealing with the stabilization of different version of Timoshenko systems. For more results concerning the stabilization and controllability of Timoshenko systems, we refer the reader to [6,7,8,9), 10,11,12,13,14,15,31].…”
Section: Introductionmentioning
confidence: 99%
“…He proved the well-posedness, and proved that the system is exponentially stable regardless of the speeds of wave propagation.There are many other papers in the literature dealing with the stabilization of different version of Timoshenko systems. For more results concerning the stabilization and controllability of Timoshenko systems, we refer the reader to [6,7,8,9), 10,11,12,13,14,15,31].…”
Section: Introductionmentioning
confidence: 99%
“…Timoshenko system received considerable attention from various researchers and many questions related to well-posedness and long-time behavior of the equation with internal feedback controls had been investigated, see the literature. [1][2][3][4][5][6] For Timoshenko systems with boundary feedback controls, we start by reporting the work of Kim and Renardy 7 in which the authors studied a Timoshenko system with clamped boundary conditions at the left end and linear boundary controls at the right end. By using the multiplier method, they proved the exponential stability of the system.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, the Timoshenko model describes the dynamics behavior of the beam more accurately than the Euler‐Bernoulli beam model in this situation. Timoshenko system received considerable attention from various researchers and many questions related to well‐posedness and long‐time behavior of the equation with internal feedback controls had been investigated, see the literature 1–6 …”
Section: Introductionmentioning
confidence: 99%
“…and proved some exponential and polynomial decay results. For more results concerning Timoshenko systems, we refer the reader to [6][7][8][9][10][11][12][13][14][15]. Motivated by the above systems, we consider a nonlocal initial boundary value problem for a nonhomogeneous Timoshenko system with memory term of type (2), complemented with boundary integral boundary conditions.…”
Section: Introductionmentioning
confidence: 99%