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General decay for an axially moving viscoelastic beam
  • belgacem TIKIALINE,
  • Abdelkarim Kelleche,
  • Tedjani Hadj Ammar
belgacem TIKIALINE
University of El Oued

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Abdelkarim Kelleche
Faculty of sciences ans technology
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Tedjani Hadj Ammar
Faculty of Exact Sciences University of El-Oued, Algeria.
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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.