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Exponential stabilty for a Timoshenko system with nonlocal delay

ABSTRACT

The purpose of this paper is to study the Timoshenko system with the nonlocal time-delayed condition. The well-posedness is proved by Hille-Yosida theorem. Exploring the dissipative properties of the linear operator associated with the full damped model, we obtain the exponential stability by using Gearhart-Huang-Prüss theorem.

Keywords:
Timoshenko system; nonlocal time-delayed condition; exponential stability

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