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On the Stabilization for Laminated Beam with Infinite Memory and Different Speeds of Wave Propagation
Gang Li
*
and
Xiangyu Kong
Version 1
: Received: 22 February 2017 / Approved: 22 February 2017 / Online: 22 February 2017 (16:56:19 CET)
How to cite: Li, G.; Kong, X. On the Stabilization for Laminated Beam with Infinite Memory and Different Speeds of Wave Propagation. Preprints 2017, 2017020082 (doi: 10.20944/preprints201702.0082.v1). Li, G.; Kong, X. On the Stabilization for Laminated Beam with Infinite Memory and Different Speeds of Wave Propagation. Preprints 2017, 2017020082 (doi: 10.20944/preprints201702.0082.v1).
Abstract
In this work, we consider a one-dimensional laminated beam in the case of non-equal wave speeds with only one infinite memory on the effective rotation angle. In this case, we establish the general decay result for the energy of solution without any kind of internal or boundary control. The main result is obtained by applying the method used in Guesmia et al. (Electron. J. Differential Equations 193: 1-45, 2012) and the second-order energy.
Subject Areas
general stability;laminated beam;infinite memory;multiplier technique;energy method
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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