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

Objective & Hypothesis:The paper considered here is one-dimensional linear thermo-elastic Bresse system with a distributed delay term in the first equation.

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Key Findings & Data:We prove the well-posedness and exponential stability result, this later will be shown without the usual assumption on the wave speeds.

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Conclusion & Impact:To achieve our goals, we make use of the semi-group method.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Bresse system · Delay terms · Decay rate

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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Cite This Article

ZİTOUNİ, S., BOUZETTOUTA, L., ZENNİR, K., OUCHENANE, D. (2022). Exponential decay of thermo-elastic Bresse system with distributed delay term. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1216–1230. https://ajindex.com/articles/529809

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