Research Article

General decay results for a nonlinear Viscoelastic Timoshenko system

Published in: Quaestiones Mathematicae
Volume 49 , issue 3 , 2026 , pages: 281–305

DOI: 10.2989/16073606.2025.2578221

Author(s): Ibtissam Fekrache Higher Normal School of Technological Education (ENSET), Algeria , Djalal Boucenna Higher Normal School of Technological Education (ENSET), Algeria , Amar Chidouh Chadli Bendjedid University, Algeria , Djamel Ouchenane Amar teledji University Laghouat, Algeria , Salah Boulaaras College of Sciences, Qassim University, Saudi Arabia , Rashid Jan College of Sciences, Qassim University, Saudi Arabia

Keywords: 35B05 , 35L05 , 35L15 , 35L70 , Timoshenko system , viscoelastic , general and optimal decay , equal speeds of wave propagation

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Abstract

In this paper, we focus on the Timoshenko viscoelastic system associated with a nonlinear term. The general stability is established by means of the energy method under the assumption of equal speeds, leading to an energy decay rate that includes exponential and polynomial stabilities as particular cases. Our results improve and generalize previous findings in the literature.

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