STABILITY RESULT AND WELL-POSEDNESS FOR TIMOSHENKO’S BEAM LAMINATED WITH THERMOELASTIC AND PAST HISTORY

Author:

CHOUCHA ABDELBAKI1,BOULAARAS SALAH23,OUCHENANE DJAMEL4,ALKHALAF SALEM5,CHERIF BAHRI2

Affiliation:

1. Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Box 789, El Oued 39000, Algeria

2. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1 Ahmed Benbella, Algeria

4. Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria

5. Department of Computer Science, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

Abstract

Our main concern in this paper, is to prove the stability combined well-posedness results of solutions for a linear Timoshenko’s beam laminated with thermoplastic and past history together with distributed delay terms for the both cases nonequal and equal speeds of wave propagation. By using of some of the usual basic theorems and well-known methods in functional analysis.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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