Thermoelastic laminated beam with nonlocal delay

This manuscript deals with a thermoelastic laminated Timoshenko beam with a nonlocal integral condition on the transversal displacement and thermal dissipation in the equation that describes the dynamical of rotate angle. Using the Hille–Yosida Theorem, we prove the existence, uniqueness, and regularity of the solution. For the asymptotic behavior, we apply the energy method. Using suitable multipliers, we construct a Lyapunov functional, and then we obtain the exponential stability. To the best of our knowledge, thermoelastic laminated Timoshenko beams with nonlocal time delay conditions have not been considered previously.