A Survey On Stability For The Elastic Systems With Local Viscoelasticity Or Pointwise Feedback Force

In this paper we give a survey on stability for the elastic systems with local viscoelasticity or a pointwise feedbackforce.We have chosen three topics as follows: the asymptotic stability problems in viscoelasticity by using Hilbert space theories, the problems for exponential decay of energy of vibrating strings with local viscoelasticity, and the stabilization problems of Bernoulli-Euler beam and Timoshenko beam by means of a pointwise feedback force.