UNIFORM DECAY OF A VISCOELASTIC NONLINEAR BEAM IN TWO DIMENSIONAL SPACE

LEKDIM, BILLAL and KHEMMOUDJ, AMMAR (2018) UNIFORM DECAY OF A VISCOELASTIC NONLINEAR BEAM IN TWO DIMENSIONAL SPACE. Asian Journal of Mathematics and Computer Research, 25 (1). pp. 50-73.

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Abstract

In this paper we study a viscoelastic nonlinear beam in two-dimensional space. We establish the well-posedness and a decay result. The proposed boundary controller guarantees that when there are no external forces, the beam is globally exponentially stabilized at its equilibrium position and that when the forces are presented, the beam is stabilized at the neighborhood of its equilibrium position. The method is based on the multiplier technique and some ideas introduced in [1].

Item Type: Article
Subjects: Science Global Plos > Mathematical Science
Depositing User: Unnamed user with email support@science.globalplos.com
Date Deposited: 12 Dec 2023 04:34
Last Modified: 12 Dec 2023 04:34
URI: http://ebooks.manu2sent.com/id/eprint/2313

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