Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Stabilization for Laminated Beam with Infinite Memory and Different Speeds of Wave Propagation

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. https://doi.org/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. https://doi.org/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.

Keywords

general stability;laminated beam;infinite memory;multiplier technique;energy method

Subject

Computer Science and Mathematics, Applied Mathematics

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