On the Petrovsky Inverse Problem with Memory Term and Nonlinear Boundary Feedback

Document Type : Regular Paper


Department of Mathematics, Jahrom University, Jahrom, P.O. Box: 74137-66171, Iran


In this paper we consider a Petrovsky viscoelastic inverse source problem with memory term in the boundary condition. We obtain sufficient conditions on relaxation function and initial data for which the solutions of problem are asymptotically stable when the integral overdetermination tends to zero as time goes to infinity.