Exponential stabilty for a Timoshenko system with nonlocal delay

Abstract

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

Keywords

• Timoshenko system
• nonlocal time-delayed condition
• exponential stability.