Integro-differential IBVP versus differential IBVP: stability analysis

Abstract

The aim of this paper is the qualitative analysis from theoretical and numerical points of view of an integro-di erential initial boundary value problem where the reaction term presents a certain memory e ect. Stability results are established in both cases. As in certain cases the integro-di erential initial boundary value problem can be seen as a di erential initial boundary value problem, the results obtained for the integro-di erential formulation are compared with the correspondent results stated for the di erential initial boundary value problem. Numerical results illustrating the theoretical results are also included.