Exponential decay of thermo-elastic Bresse system with distributed delay term

Year 2018, Volume: 47 Issue: 5, 1216 - 1230, 16.10.2018

S. Zitouni L. Bouzettouta Kh. Zennir D. Ouchenane

https://izlik.org/JA64PN57SD

Abstract

The paper considered here is one-dimensional linear thermo-elastic Bresse system with a distributed delay term in the first equation. We prove the well-posedness and exponential stability result, this later will be shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semi-group method.

Keywords

Bresse system , Delay terms , Decay rate , Lyaponov method , Thermo- elastic

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