Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

Abstract

This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x,t)q\left(x,t). We proved an exponential stability result by using the energy method combined with Lyapunov functional.

Keywords

• timoshenko system
• general decay
• exponential decay
• distributed delay term
• 35b40
• 35l70
• 93d15
• 93d20