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

Abdelbaki Choucha (), Salah Boulaaras, Djamel Ouchenane (), Salem Alkhalaf () and Bahri Cherif
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Abdelbaki Choucha: Laboratory of Operator Theory and PDEs
Salah Boulaaras: Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia3Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1 Ahmed Benbella, Algeria
Djamel Ouchenane: Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria
Salem Alkhalaf: Department of Computer Science, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia
Bahri Cherif: Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

FRACTALS (fractals), 2021, vol. 29, issue 05, 1-26

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.

Keywords: Well-Posedness; General Decay; Thermoelastic Laminated; Past History; Distributed Delay Term (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21400259

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