Analysis of thermoelastic laminated Timoshenko beam with time-varying delay

Abstract

This document presents a study into a linear thermoelastic laminated Timoshenko beam featuring a time-varying delay. Utilizing the semigroup method and the variable norm technique, we establish the well-posedness of the system. Subsequently, leveraging the energy method under appropriate conditions, we demonstrate the system’s exponential stability.

Keywords

• Well-posedness
• Exponential decay
• Laminated beam
• Time varying delay
• Partial differential equations
• Mathematical operators