Abstract:We study a problem of boundary stabilization of the vibrations of elastic structure governed by the nonlinear integro-differential equation u = (a 2 + b Ω |∇u| 2 dx)Δu+ f , in a bounded domain Ω in R n with a smooth boundary Γ , under mixed boundary conditions. To stabilize this system, we apply a velocity feedback control only on a part of the boundary. We prove that the solution of such system is stable subject to some restriction on the uncertain disturbing force f . We also estimate the total energy of the… Show more
In this paper, we prove the existence of weak solutions and investigate uniform decay rates of global weak solutions for a hyperbolic hemivariational inequalitiy of dynamic elasticity.
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