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.