Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback

Abstract

In this paper, a one-dimensional thermodiffusion laminated beam system with delay feedback is studied. The existence of a solution for our system is discussed within the context of the semigroup approach. In addition, under different boundary conditions, two results of stability properties independent of initial data are investigated.

Keywords

• laminated beam
• thermodiffusion effects
• delay feedback
• semigroup approach
• Lyapunov functions
• stability