Well-posedness and decay of solutions for a von Kármán system by a thermal effect and a frictional damping with distributed delay and past history

Abstract

In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional von Kármán beam is coupled to a thermal effect and frictional damping with distributed delay and past history. We first give the well-posedness of the system by using the semigroup theory. Then, we establish a decay result by introducing a suitable Lyapunov functionals.