Results 191 to 200 of about 2,060 (225)
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Polynomial Decay for the Timoshenko System with Dynamical Boundary Conditions
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ammar Khemmoudj, Naouel Kechiche
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Dynamics of the Nonlinear Timoshenko System with Variable Delay
Applied Mathematics & Optimization, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xin-Guang +2 more
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The Timoshenko system with history and Cattaneo law
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatori, Luci Harue +2 more
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Stability of a Timoshenko System with Localized Kelvin–Voigt Dissipation
Applied Mathematics & Optimization, 2021The authors deal with a Timoshenko beam of the length \(\ell\) divided into three parts : an elastic, a viscous with continuous and discontinuous constitutive law respectively. They consider the system \begin{align*} &\rho_1 \varphi_{tt}-S_x=0\ \text{in}\ \widetilde{I}\times (0,\infty),\\ &\rho_2 \psi_{tt}-M_x+S=0\ \text{in}\ \widetilde{I}\times (0 ...
Gabriel Aguilera Contreras +1 more
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Stability to weakly dissipative Timoshenko systems
Mathematical Methods in the Applied Sciences, 2013In this paper, we consider the Timoshenko systems with frictional dissipation working only on the vertical displacement. We prove that the system is exponentially stable if and only if the wave speeds are the same. On the contrary, we show that the Timoshenko systems is polynomially stable giving the optimal decay rate. Copyright © 2013 John Wiley &
Almeida Júnior, D. S. +2 more
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Stability Result for a New Viscoelastic–Thermoelastic Timoshenko System
Bulletin of the Malaysian Mathematical Sciences Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cyril Dennis Enyi, Baowei Feng
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Stability of a Timoshenko system with local Kelvin–Voigt damping
Zeitschrift für angewandte Mathematik und Physik, 2017In this article, a Timoshenko system with local distributed Kelvin-Voigt damping is considered. More precisely, the authors consider the hyperbolic system \[ \begin{aligned} &\rho_1 w_{tt}-[\kappa(w_x+\phi)+D_1(w_{xt}+\phi_t)]_x=0,\\ &\rho_2\phi_{tt}-(\mu\phi_x+D_2\phi_{xt})_x+\kappa(w_x+\phi)+D_1(w_{xt}+\phi_t)=0, \end{aligned} \] for \((x,t)\in (0,L)\
Xinhong Tian, Qiong Zhang
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Boundary exact controllability for a porous elastic Timoshenko system
Applications of Mathematics, 2020In this paper, the authors consider the boundary exact controllability of a one-dimensional Timoshenko-type beam fixed at right end and at left end two controls act on the transverse displacement and the rotation angle, respectively. By using the HUM method, the authors prove that the system is boundary exactly controllable in the usual energy space ...
Santos, Manoel J. +2 more
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Boundary Feedback Stabilization of Kirchhoff-Type Timoshenko System
Journal of Dynamical and Control Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Yuhu, Xue, Xiaoping
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DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH MEMORY-TYPE DISSIPATION
Mathematical Models and Methods in Applied Sciences, 2012In this paper we consider the initial value problem for the Timoshenko system with a memory term. We construct the fundamental solution by using the Fourier–Laplace transform and obtain the solution formula of the problem. Moreover, applying the energy method in the Fourier space, we derive the pointwise estimate of solutions in the Fourier space ...
Liu, Yongqin, Kawashima, Shuichi
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