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Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2021Publisher:Walter de Gruyter GmbHJournal:Open Mathematics, volume 19, pages 1,636-1,647 (eissn: 2391-5455,

Authors: Moumen Abdelkader; Ouchenane Djamel; Choucha Abdelbaki; Zennir Khaled; Zubair Sulima A.;

doi: 10.1515/math-2021-0117

Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

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Abstract

Abstract This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q ( x , t ) q\left(x,t) . We proved an exponential stability result by using the energy method combined with Lyapunov functional.

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Keywords

35b40, 93d20, QA1-939, exponential decay, general decay, distributed delay term, 35l70, timoshenko system, Mathematics, 93d15

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