Uniform General Stability of Piezoelectric Beams With Viscoelastic Finite Memory

ABSTRACT This paper aims to investigate the asymptotic stability of entirely magnetic effected piezoelectric beams equipped with viscoelastic finite memory. The well‐posedness of the system with finite memory is established by exploiting the semigroup theory. By estimating some suitable Lyapunov functionals and using differential inequality techniques, a general decay result is obtained under the assumptions that the memory kernel does not involve differential inequality.