Decay for thermoelastic laminated beam with nonlinear delay and nonlinear structural damping

Abstract

This paper discussed the decay of a thermoelastic laminated beam subjected to nonlinear delay and nonlinear structural damping. We provided explicit and general energy decay rates of the solution by imposing suitable conditions on both weight delay and wave speeds. To achieve this, we leveraged the properties of convex functions and employed the multiplier technique as a specific approach to demonstrate our stability results.

Keywords

• laminated beam
• lyapunov functions
• nonlinear damping
• general decay
• nonlinear delay
• partial differential equations