Aissa Guesmia

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Abstract. In this paper, we consider vibrating system of Timoshenko type in one-dimensional bounded domain with complementary past history and frictional damping controls acting only in the equation for the rotation angle. We show that the dissipation given by this complementary controls is strong enough to guarantee the stability of the system in case of(More)
In this paper we consider the following Timoshenko system φtt − (φx + ψ)x = 0, (0, 1)× (0,+∞) ψtt−ψxx + ∫ t 0 g(t−τ)(a(x)ψx(τ))xdτ +φx +ψ+b(x)h(ψt) = 0, (0, 1)×(0,∞) with Dirichlet boundary conditions where a, b, g, and h are specific functions. We establish an exponential and polynomial decay results. This result improves and generalizes some existing(More)
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