Abstract
This paper deals with an axially moving viscoelastic beam with a
boundary non- linear term. Our purpose is to extend the class of the
relaxation functions Z that guaranteeing a general deacy. For this, we
consider the following general condition Z′() ≤ -(t)(Z(t)) where is an
increasing and convex function and is a non- increasing function on the
whole ℝ+,This type of functions was developed by Conti and Pata in 6 and
improved by Kelleche and Feng in 11. The obtained result improves the
previous ones12,13.