Exponential stabilty for a Timoshenko system with nonlocal delay

C. A. S. Nonato, C. A. Raposo, H. H. Nguyen

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.

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DOI: https://doi.org/10.5540/tema.2020.021.03.395

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TEMA - Trends in Applied and Computational Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
ISSN: 1677-1966  (print version),  2179-8451  (online version)

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