NULL CONTROLLABILITY OF COUPLED SYSTEMS OF DEGENERATE PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

This article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally dis-tributed control force. Since the memory terms do not allow applying the standards Carleman estimates directly, we start by proving a null control-lability result for an associated nonhomogeneous degenerate coupled system employing new Carleman estimates with appropriate weight functions. As a consequence, we deduce the null controllability result for the initial memory system by using the Kakutani's fixed point Theorem.